Question

sole the systems of equations x=6y-3 2x+7y=13 (__,__) (1point)

Answer 1

To solve the system of equations, we can use the method of substitution.

Given:
x = 6y - 3 (equation 1)
2x + 7y = 13 (equation 2)

Step 1: Substitute equation 1 into equation 2
2(6y-3) + 7y = 13
12y - 6 + 7y = 13
19y - 6 = 13

Step 2: Solve for y
19y = 19
y = 1

Step 3: Substitute the value of y into either of the original equations to solve for x. Let's use equation 1.
x = 6(1) - 3
x = 6 - 3
x = 3

The solution to the system of equations is (x, y) = (3, 1).