Question

(HELP!! WILL GIVE 86 POINTS!!)

Use the elimination method to solvethe system of equations. Choose the
correct ordered pair.
-x+y= -2
2x- 3y = 4

Answer 1

Answer: x=y+2

Explanation:

Step 1: Add -y to both sides.

−x+y+−y=−2+−y

−x=−y−2

Step 2: Divide both sides by -1.

-x/-1 = -y - 2/-1

asnwer: x=y+2

Answer: x = 3/2y + 2

2x−3y=4

Step 1: Add 3y to both sides.

2x−3y+3y=4+3y

2x=3y+4

Step 2: Divide both sides by 2.

2x/2 = 3y + 4/2

answer: x = 3/2y + 2

Answer 2

Answer: 2(−x+y=−2)

2(−x+y=−2)

1(2x−3y=4)

Becomes:

−2x+2y=−4

2x−3y=4

Add these equations to eliminate x:

−y=0

Then solve−y=0for y:

−y=0

−y/-1 = 0/-1 (Divide both sides by -1)

y=0

Explanation:

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

−x+y=−2

Substitute 0 for y in −x+y=−2:

−x+0=−2

−x=−2(Simplify both sides of the equation)

−x/-1 = -2/-2 (Divide both sides by -1)

x=2

Answer:

x=2 and y=0