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

Answer:

B

Step-by-step 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