Find the solution to the following system of linear equations:
x-2y = 6
2x+y = 17
a)
(8,1)
b)
(12,3)
c)
(1,2)
d)
(10,2)
Correct answer is option 'A'. Can you explain this answer?

Question

Find the solution to the following system of linear equations:x-2y = 62x+y = 17&#8203;a)(8,1)b)(12,3)c)(1,2)d)(10,2)Correct answer is option 'A'. Can you explain this answer?

Answer

X-2y=6 and 2x+y=17

by eliminating
x-2y=6*2
2x+y=17*1

2x will be cancelled
then y will be 1
and when we value of y in equation 1
we get x=8

Answer

Multiplying 2 with first equation and deducted from second equation.

2x - 4y=12
2x + y =17
(-) (-) (-)
-5y = -5
y = 1
putting the value of y in second equation
2x + 1= 17
2x = 16
x =8
The value of (x,y) =(8,1)

Answer

Given,
x-2y=6
=>x=6+2y ------ (1)

2x+y=17
=>y=17-2x ----- (2)

substituting eq(1) in eq(2),we get

=>y=17-2x
=>y=17-2(6+2y)
=>y=17-12-4y
=>y+4y=5
=>5y=5
=>y=1

putting y=1 in eq(1),we get

x=6+2y
=>x=6+2(1)
=>x=6+2
=>x=8

Therefore,the required solution is (8,1).

Answer

The correct answer is a.

x-2y = 6

2x+y = 17

2x - 4y = 12

2x + y = 17

-5y = -5

y = 1

x-2(1) = 6

x= 8

Answer

To find the solution to the system of linear equations:

x - 2y = 6 ...(1)
2x + y = 17 ...(2)

We can solve this system using the method of substitution or elimination. Let's solve it using the method of substitution.

Step 1: Solve equation (1) for x in terms of y.
x = 6 + 2y

Step 2: Substitute x = 6 + 2y into equation (2).
2(6 + 2y) + y = 17
12 + 4y + y = 17
5y = 17 - 12
5y = 5
y = 1

Step 3: Substitute y = 1 into equation (1) to find x.
x - 2(1) = 6
x - 2 = 6
x = 6 + 2
x = 8

Therefore, the solution to the system of linear equations is (x, y) = (8, 1).

Explanation:
- The given system of equations consists of two linear equations in two variables, x and y.
- We solve the system by either the method of substitution or elimination.
- In this solution, we use the method of substitution to solve the system.
- First, we solve equation (1) for x in terms of y.
- Then, we substitute the expression for x into equation (2) and simplify the equation.
- After simplification, we obtain a linear equation in one variable, y.
- Solving this equation, we find the value of y as 1.
- Finally, we substitute the value of y into equation (1) to find the value of x as 8.
- Hence, the solution to the system of linear equations is (x, y) = (8, 1).
- This means the two equations intersect at the point (8, 1) on the coordinate plane.

Answer

The correct answer is a.

x-2y = 6

2x+y = 17

2x - 4y = 12

2x + y = 17

-5y = -5

y = 1

x-2(1) = 6

x= 8

Answer

The correct answer is a.

x-2y = 6

2x+y = 17

2x - 4y = 12

2x + y = 17

-5y = -5

y = 1

x-2(1) = 6

x= 8

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