Question

3x+2y=-4
y= 4x-2
use substitution

Answer 1

(X,Y) = (0,-2)
Substitute the given value of y and x into the equation and simplify

Answer 2

Answer: $x = 0$ and $y = -2$

Step-by-step explanation:

$3x+2y=-4$  ............................. equation 1

$y=4x-2$  ............................... equation 2

Using substitution method

substitute $y=4x-2$ into equation 1 , equation 1 then becomes

$3x + 2(4x-2) = -4$

$3x+8x-4 = -4$

$11x-4=-4$

add 4 to both sides

$11x = 0$

therefore:

$x = 0$

substitute $x = 0$ into equation 2 to find the value of y

$y = 4x - 2$

$y = 4(0) - 2$

$y = -2$

therefore:

$x = 0$ and $y = -2$