Question

Solve:y = 2x – 6x + y = -3

Answer 1

Solve for x

x= y+3/4

​Solve for y

y=4x−3

Explanation:

TO SOLVE FOR X

Steps for Solving Linear Equation

2x−6x+y=−3

Combine 2x and −6x to get −4x.

−4x+y=−3

Subtract y from both sides.

−4x=−3−y

The equation is in standard form.

−4x=−y−3

Divide both sides by −4.

−4

−4x

​

=

−4

−y−3

​

Dividing by −4 undoes the multiplication by −4.

x=

−4

−y−3

​

Divide −3−y by −4.

x=

4

y+3

​

TO SOLVE FOR Y

Solve for y

y=4x−3

Solution Steps

2x−6x+y=−3

Combine 2x and −6x to get −4x.

−4x+y=−3

Add 4x to both sides.

y=−3+4x

Answer 2

`x=1,y=-4`

EXPLANATION

We want to solve the simultaneous equations given:

`\begin{gathered} y=2x-6 \\ x+y=-3 \end{gathered}`

Substitute the first equation for y in the second equation:

`x+2x-6=-3`

Simplify and solve for x:

`\begin{gathered} 3x-6=-3 \\ 3x=6-3 \\ 3x=3 \\ \Rightarrow x=(3)/(3) \\ x=1 \end{gathered}`

Substitute the value of x in the first equation and solve for y:

`\begin{gathered} y=2(1)-6 \\ y=2-6 \\ y=-4 \end{gathered}`

Therefore, the solution to the equations is:

`x=1,y=-4`