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x=3y-19,y=3x-23 solve by substitution method Related: Assignment - Li...
**Solution:**
To solve the given system of equations by the substitution method, we will substitute the value of one variable in terms of the other variable into the other equation. Let's solve the given system of equations step by step.
Given equations:
x = 3y - 19 ...(1)
y = 3x - 23 ...(2)
**Step 1:** Solve equation (1) for x in terms of y.
x = 3y - 19
**Step 2:** Substitute the value of x from equation (1) into equation (2).
y = 3x - 23
y = 3(3y - 19) - 23
y = 9y - 57 - 23
y - 9y = -80
-8y = -80
**Step 3:** Solve for y.
-8y = -80
Divide both sides by -8:
y = -80/-8
y = 10
**Step 4:** Substitute the value of y back into equation (1) to find x.
x = 3y - 19
x = 3(10) - 19
x = 30 - 19
x = 11
Therefore, the solution to the given system of equations is x = 11 and y = 10.
To solve the given system of equations by the substitution method, we will substitute the value of one variable in terms of the other variable into the other equation. Let's solve the given system of equations step by step.
Given equations:
x = 3y - 19 ...(1)
y = 3x - 23 ...(2)
**Step 1:** Solve equation (1) for x in terms of y.
x = 3y - 19
**Step 2:** Substitute the value of x from equation (1) into equation (2).
y = 3x - 23
y = 3(3y - 19) - 23
y = 9y - 57 - 23
y - 9y = -80
-8y = -80
**Step 3:** Solve for y.
-8y = -80
Divide both sides by -8:
y = -80/-8
y = 10
**Step 4:** Substitute the value of y back into equation (1) to find x.
x = 3y - 19
x = 3(10) - 19
x = 30 - 19
x = 11
Therefore, the solution to the given system of equations is x = 11 and y = 10.
Community Answer
x=3y-19,y=3x-23 solve by substitution method Related: Assignment - Li...
X=11 "y=10
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x=3y-19,y=3x-23 solve by substitution method Related: Assignment - Linear Equation in two Variables, Class 10 Mathematics?
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x=3y-19,y=3x-23 solve by substitution method Related: Assignment - Linear Equation in two Variables, Class 10 Mathematics? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about x=3y-19,y=3x-23 solve by substitution method Related: Assignment - Linear Equation in two Variables, Class 10 Mathematics? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for x=3y-19,y=3x-23 solve by substitution method Related: Assignment - Linear Equation in two Variables, Class 10 Mathematics?.
x=3y-19,y=3x-23 solve by substitution method Related: Assignment - Linear Equation in two Variables, Class 10 Mathematics? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about x=3y-19,y=3x-23 solve by substitution method Related: Assignment - Linear Equation in two Variables, Class 10 Mathematics? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for x=3y-19,y=3x-23 solve by substitution method Related: Assignment - Linear Equation in two Variables, Class 10 Mathematics?.
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