Question

• (6x + 5y=7
• y = 2x - 5

(solve using substitution)​

Answer 1

x=2 y=-1

Explanation:

You can plug 2x-5 into the first equation for y since it gives you that y=2x-5. Then, you get 6x+5(2x-5)=7. After distributing the 5, you get 6x+10x-25=7. You can now combine the like terms 6x and 10x. You get 16x-25=7. Then, add 25 to both sides and get 16x=32. You can divide 16 by both sides to leave the x by itself and you get x=2.

x=2

After finding the x, you can plug 2 back into either equation to get your y. If you plug it into the second equation, you get y=2(2)-5=-1

Answer 2

6x + 5y = 7

y = 2x - 5.

Plug the second equation into y for the first equation.

6x + 5(2x - 5) = 7.

Multiply 5 by 2x - 5

6x + 10x - 25 = 7.

Simplify the left side

16x - 25 = 7.

Add 25 to each side

16x = 32.

Divide each side by 16

x = 2.

Plug 2 into x for one of our original equations.

y = 2(2) - 5.

Simplify the right side.

y = -1.

In conclusion, x = 2 and y = -1