Question

Using substitution what is the value for x for the equations 2x+y=-3 and y=4x+6​

Answer 1

`x = (-3)/(2)`

Step-by-step 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

`2x + 4x + 6 = -3`

`6x + 6 = -3`

Subtract 6 from both sides

`6x + 6 - 6 = -3 - 6`

`6x = -9`

Divide both sides by 6

`(6x)/(6) = (-9)/(6)`

`x = (-9)/(6)`

Simplify fraction

`x = (-3)/(2)`

Hence, the value of x is
`x = (-3)/(2)`