Question

solve the equations by subtraction
-4 + 4y -40
y = 3x -4

Answer 1

solve the system of equations by substitution

Answer 2

-4 + 4y = -40
4y = -40 + 4
4y = -36
y = -36 / 4
y = -9

Substitute y = -9 into the second equation:
-9 = 3x - 4
3x = -9 + 4
3x = -5
x = -5 / 3

Therefore, the solution is x = -5/3 and y = -9.

Answer 3

To solve the system of equations by the substitution method, we substitute the expression for y from the second equation into the first equation:

-4 + 4(3x - 4) = -40

Expand and solve for x:

-4 + 12x - 16 = -40
12x - 20 = -40
12x = -40 + 20
12x = -20
x = -20 / 12
x = -5/3

Now, substitute x = -5/3 back into the second equation to solve for y:

y = 3(-5/3) - 4
y = -5 - 4
y = -9

Therefore, the solution to the system of equations by substitution method is x = -5/3 and y = -9.