help!!

[kizzy101]

i forgot how to do problems like this , and it has to be solved by substitution:

8x - 2y = 58
6x - 2y = 40

if someone would help i will be forever greatful !

 

[Guest]

8x - 2y = 58
6x - 2y = 40

Two methods exist to solve these problems

subtract the 2 equations and the y variable will cancel out.

8x-2y-(6x-2y) =58-40
8x-2y-6x+2y =18
2x=18
x=9
sub this back into either of the original equations and you will be done.

 

[soroban]

Hello, kizzy101!

Solve by substitution:

[1] . 8x - 2y = 58
[2] . 6x - 2y = 40

(1) Solve one of the equations for one of its variables.
. . . Solve [1] for y: .-2y .= .-8x + 58 . ---> . y .= .4x - 29 . (a)

(2) Substitute into the other equation.
. . . 6x - 2(4x - 29) .= .40
. . . . . 6x - 8x + 58 .= .40
. . . . . . . . . . . . -2x .= .-18
. . . . . . . . . . . . . .x .= .9

Substitute into (a): . y .= .4(9) - 29 .= .7

Answer: . (x, y) .= .(9, 7)