Question

Use the substitute method to solve the system of equations.

3x+y=10
y=6x+1
A. (7,1)
B. (1,7)
C. (-7,-1)
D. (-1,-7)

Answer 1

B

Explanation:

Put the second y into the first equation

3x + y = 10 substitute for y

3x + 6x + 1 = 10 Combine like terms on the left

9x + 1 = 10 Subtract 1 from both sides

9x = 10 - 1 Combine the right.

9x = 9 Divide by 9

x = 9/9 Divide

x = 1

The answer is right there. Only B is possible

y = 6x + 1

y = 6(1) + 1

y = 6 + 1

y = 7

Answer B