All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
ACT Exam  >  ACT Questions  >  Let x = 3y − 4z + 7. What happens to th... Start Learning for Free
Let x = 3y − 4z + 7. What happens to the value of x if the value of y decreases by 2 and the value of z is increased by 1?
  • a)
    It increases by 3.
  • b)
    It increases by 5.
  • c)
    It decreases by 1.
  • d)
    It decreases by 10.
  • e)
    It is unchanged.
Correct answer is option 'D'. Can you explain this answer?
Clear all your ACT doubts with EduRev
Most Upvoted Answer
Let x = 3y − 4z + 7. What happens to the value of x if the value...
This equation represents a linear relationship between x and y, where x is equal to three times y. In other words, if you have a value for y, you can determine x by multiplying it by 3.
Free Test
FREE
Start Free Test
Start Free Test
Community Answer
Let x = 3y − 4z + 7. What happens to the value of x if the value...
The correct answer is d. To solve this problem, replace y with y − 2, and z with z + 1:
x = 3(y − 2) − 4(z + 1) + 7
= 3y − 6 − 4z − 4 + 7
= 3y − 4z − 3
So, you went from x = 3y − 4z + 7 to x = 3y − 4z − 3.
Subtract the two to see the difference:
(3y - 4z + 7) - (3y - 4z - 3)
3y - 3y = 0
-4z - (-4z) = 0
7 - (-3) = 10
Since the difference is a positive 10, that means that the original value of x was 10 greater than the new value of x. Thus, the value of x decreased by 10.
Explore Courses for ACT exam

Similar ACT Doubts

Directions:Read the passage and choose the best answer to each question.PassageA scientist tested the ability of 5 newly engineered drugs to kill penicillin-resistant bacteria.Experiment 1Equal numbers of penicillin-resistant bacteria were put into flasks containing 10.0 milliliters of a nutrient medium.The flasks were incubated for 1 hour at 37 C with different concentrations of the 5 drugs shown in Table 1. A control consisted of bacteria incubated in the medium without any drugs. The bacteria were washed to remove residual drug traces and grown on nutrient agar plates for 7 days. During this time, the bacteria reproduced, forming colonies, which were then counted at the end of the seventh day. Plates with more colonies were assumed to have more live bacteria at the end of the 1-hour incubation period. Table 1 shows the number of colonies counted. The drug-free control showed 50 colonies at the end of 7 days.Experiment 2Bacteria were handled as described in Experiment 1 with two exceptions: all drugs were tested at the same concentration and the incubation time of each culture was varied. Table 2 shows the number of colonies counted for Experiment 2.Experiment 3Permeability coefficients measure a drug’s ability to break through the cell membrane of a bacterium. The larger the permeability coefficient, the faster the drug is able to transfer through the membrane. The molecular mass, in atomic mass units (amu), and permeability coefficient, in centimeters per second (cm/s) of the 5 drugs at 37 C were measured. The results are shown in Table 3.Q.Which of the following statements best describes the relationship between incubation time and number of live bacteria in Experiment 2?

Directions:Read the passages and choose the best answer to each question.PassageScientists have observed rapid eutrophication of a local lake, at a rate much higher than that of other lakes in the area.Eutrophication is the aging of a lake, resulting in increased levels of plant life and accumulated sediments, brought on by a build-up of nutrients such as nitrates and phosphates.Rapid eutrophication is harmful, as it leads to the dying off of cold water fish such as trout. Researchers performed the following experiments to determine the possible source of the increased nitrates and phosphates.Experiment 1Scientists suspected that one source of nutrients was a feeder stream which intercepts run-off from farmland where pesticides and animal waste are found. Water samples were obtained over several days from that stream (Feeder

Directions:Read the passages and choose the best answer to each question.PassageThe atmosphere is made up of 4 distinct layers: the troposphere, stratosphere, mesosphere, and thermosphere.Different types of clouds form in the different layers depending on the pressure in the atmosphere and the ambient temperature. The cloud types include nimbus, stratus, cumulus, and cirrus. Figure 1 shows the location of thebarriers of the atmosphere when the temperature and pressure are at an ideal condition for cloud formation. It also shows the different types of clouds formed at the different levels. Note: Clouds are formed mostly of water crystals, but can also contain particles of rock and dust.Q.According to Figure 1, as pressure within the atmospheric layers increases, temperature within the atmospheric layers

Top Courses for ACTView all

Top Courses for ACT

Let x = 3y − 4z + 7. What happens to the value of x if the value of y decreases by 2 and the value of z is increased by 1?a)It increases by 3.b)It increases by 5.c)It decreases by 1.d)It decreases by 10.e)It is unchanged.Correct answer is option 'D'. Can you explain this answer?
Question Description
Let x = 3y − 4z + 7. What happens to the value of x if the value of y decreases by 2 and the value of z is increased by 1?a)It increases by 3.b)It increases by 5.c)It decreases by 1.d)It decreases by 10.e)It is unchanged.Correct answer is option 'D'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about Let x = 3y − 4z + 7. What happens to the value of x if the value of y decreases by 2 and the value of z is increased by 1?a)It increases by 3.b)It increases by 5.c)It decreases by 1.d)It decreases by 10.e)It is unchanged.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let x = 3y − 4z + 7. What happens to the value of x if the value of y decreases by 2 and the value of z is increased by 1?a)It increases by 3.b)It increases by 5.c)It decreases by 1.d)It decreases by 10.e)It is unchanged.Correct answer is option 'D'. Can you explain this answer?.
Solutions for Let x = 3y − 4z + 7. What happens to the value of x if the value of y decreases by 2 and the value of z is increased by 1?a)It increases by 3.b)It increases by 5.c)It decreases by 1.d)It decreases by 10.e)It is unchanged.Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for ACT. Download more important topics, notes, lectures and mock test series for ACT Exam by signing up for free.
Here you can find the meaning of Let x = 3y − 4z + 7. What happens to the value of x if the value of y decreases by 2 and the value of z is increased by 1?a)It increases by 3.b)It increases by 5.c)It decreases by 1.d)It decreases by 10.e)It is unchanged.Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Let x = 3y − 4z + 7. What happens to the value of x if the value of y decreases by 2 and the value of z is increased by 1?a)It increases by 3.b)It increases by 5.c)It decreases by 1.d)It decreases by 10.e)It is unchanged.Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Let x = 3y − 4z + 7. What happens to the value of x if the value of y decreases by 2 and the value of z is increased by 1?a)It increases by 3.b)It increases by 5.c)It decreases by 1.d)It decreases by 10.e)It is unchanged.Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Let x = 3y − 4z + 7. What happens to the value of x if the value of y decreases by 2 and the value of z is increased by 1?a)It increases by 3.b)It increases by 5.c)It decreases by 1.d)It decreases by 10.e)It is unchanged.Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Let x = 3y − 4z + 7. What happens to the value of x if the value of y decreases by 2 and the value of z is increased by 1?a)It increases by 3.b)It increases by 5.c)It decreases by 1.d)It decreases by 10.e)It is unchanged.Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice ACT tests.
Explore Courses for ACT exam

Top Courses for ACT

Explore Courses
SaveJoin the Discussion on the App for FREE
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup