Respuesta :
If you would like to solve the system of equations, you can do this using the following steps:
y = 7 * x + 43
y = 2 * x + 13
____________
7 * x + 43 = 2 * x + 13
7 * x - 2 * x = 13 - 43
5 * x = - 30 /5
x = - 30 / 5
x = - 6
y = 7 * x + 43 = 7 * (- 6) + 43 = - 42 + 43 = 1
y = 7 * x + 43
y = 2 * x + 13
____________
7 * x + 43 = 2 * x + 13
7 * x - 2 * x = 13 - 43
5 * x = - 30 /5
x = - 30 / 5
x = - 6
y = 7 * x + 43 = 7 * (- 6) + 43 = - 42 + 43 = 1
Put the equations on top of each other and subtract. This will eliminate one variable.
y=7x+43
y=2x+13
_______
0=5x+30
Subtract 30 on both sides.
-30=5x
Divide by 5 on both sides.
x=-6
Substitute x=-6 back into one of the equations to find y.
y=2(-6)+13
Multiply 2 and -6.
y=-12+13
Add.
y=1
[tex]{\boxed{x=-6}{\boxed{y=1}[/tex]
y=7x+43
y=2x+13
_______
0=5x+30
Subtract 30 on both sides.
-30=5x
Divide by 5 on both sides.
x=-6
Substitute x=-6 back into one of the equations to find y.
y=2(-6)+13
Multiply 2 and -6.
y=-12+13
Add.
y=1
[tex]{\boxed{x=-6}{\boxed{y=1}[/tex]