Question

Use elimination to find the solution to the system of equations. 4x+2y=34 5x-6y=34

Answer 1

Let's solve for x.

4x+2y=345x−6y

Step 1: Add -345x to both sides.

4x+2y+−345x=345x−6y+−345x

−341x+2y=−6y

Step 2: Add -2y to both sides.

−341x+2y+−2y=−6y+−2y

−341x=−8y

Step 3: Divide both sides by -341.

−341x

−341

=

−8y

−341

x=

8

341

y

Explanation:

Answer 2

x=8 and y=1

Explanation:

4x+2y=34;5x−6y=34

Step: Solve 4x+2y=34 for x:

4x+2y=34

4x+2y+−2y=34+−2y(Add -2y to both sides)

4x=−2y+34

4x 4 =−2y+34 4

(Divide both sides by 4)

x=−1/2y+17/2

Step: Substitute

−1/2y+17/2

solve for x in 5x−6y=34:

5x−6y=34

5(−1/2y+17/2)−6y=34

−17/2y+85/2=34(Simplify both sides of the equation)

−17/2y+85/2+−85/2=34+−85/2

(Add (-85)/2 to both sides)

−17/2

y=−17/2/−17/2y−17/2=−17/2/−17/2

(Divide both sides by (-17)/2)

y=1

Step: Substitute 1 for y in

x=−1//2y+17/2:

x=−1/2y+17/2

x=−1/2(1)+17/2

x=8 (Simplify both sides of the equation)