6
Solve the system of equations.
-3x +y = 2
70 – 8y = 1
Solution:
y =

x = -1, y = -1.

Step-by-step explanation:

-3x +y = 2

7x – 8y = 1

We can use the  elimination method to solve these:

Multiply the first equation by 8:

-24x + 8y = 16

Now add this to the second equation:

-17x -8y + 8y = 17

-17x = 17

x = -1.

Plug x = -1 into the first equation:

-3(-1) + y = 2

3 + y = 2

y = -1.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2