Question

Estimate the solutions to the system of equations.

Answer 1

Option A

Explanation:

7x - y = 7

x + 2y = 6

Subtract 2y from both sides;

x = -2y + 6

Lets substitute x;

7(-2y + 6) - y = 7

Distribute;

-14y + 42 - y = 7

-15y + 42 = 7

Subtract 42 from both sides;

-15y = -35

Divide both sides by -15

y =
`(35)/(15)=(7)/(3) = 2(1)/(3)`

Lets substitute y;

x + 2(
`(7)/(3)`) = 6

x +
`(14)/(3)` = 6

Subtract
`(14)/(3)` from both sides;

x =
`-(14)/(3) +6=-(14)/(3)+(6)/(1)=(-14+18)/(3) =(4)/(3)=1(1)/(3)`