Respuesta :
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
Answer:
x=2 y=-1
Step-by-step 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