Answer:
[tex]x = \frac{-3}{2}[/tex]
Explanation:
Given
2x + y = -3
y = 4x + 6
Required
Find the value of x
2x + y = -3 --- Equation 1
y = 4x + 6 --- Equation 2
Substitute 4x + 6 for y in equation 1.
So, equation 1 becomes
[tex]2x + 4x + 6 = -3[/tex]
[tex]6x + 6 = -3[/tex]
Subtract 6 from both sides
[tex]6x + 6 - 6 = -3 - 6[/tex]
[tex]6x = -9[/tex]
Divide both sides by 6
[tex]\frac{6x}{6} = \frac{-9}{6}[/tex]
[tex]x = \frac{-9}{6}[/tex]
Simplify fraction
[tex]x = \frac{-3}{2}[/tex]
Hence, the value of x is [tex]x = \frac{-3}{2}[/tex]
