Question

5. Which ordered pair, if any, is the solution to the system of linear equations here?

x-y=-4
–2x+2y=6


A. no solution

B. (-2,6)

C. (-6,-2)

D. (6,2)

Answer 1

A. no solution

Explanation:

Given:

Isolate the term of x and y from one side of the equation.

x-y=-4 and -2x+2y=6

x-y=-4

First add by y from both sides.

x-y+y=-4+y

Solve.

x=-4+y

You have to substitute of x=-4+y.

`\sf{-2\left(-4+y\right)+2y=6}`

Solve.

Use the distributive property.

Distributive property:

⇒ A(B+C)=AB+AC

-2(-4+y)

Multiply expand.

-2*-4=8

-2*y=-2y

Rewrite the expression down.

8-2y

8-2y+2y=6

-2y+2y=0

8=6

`\Longrightarrow: \boxed{\sf{\text{\sf{NO solution}}}}`

• Therefore, the correct answer is "A. No solution".

I hope this helps, let me know if you have any questions.