Question

Y = 4x+2y = -2x - 3​

Answer 1

Solve for x and y

y = 4x+2

y = -2x - 3​

Answer:

$x = \frac{-5}{6}$ and $y = \frac{-4}{3}$

Solution:

Given equations are:

y = 4x+2   --------- eqn 1

y = -2x - 3​  ---------- eqn 2

We have to solve both equations and find values of "x" and "y"

Substitute eqn 1 in eqn 2

4x + 2 = -2x - 3

Combine like terms we get,

4x + 2x = -3 - 2

On solving,

6x = -5

$x = \frac{-5}{6}$

Substitute "x" value in eqn 1

$y = 4(\frac{-5}{6}) + 2\\\\y = \frac{-20}{6} + 2\\\\y = \frac{-20 + 12}{6}\\\\y = \frac{-8}{6} = \frac{-4}{3}$

Thus $x = \frac{-5}{6}$ and $y = \frac{-4}{3}$