Question

Solve the system of linear equations by elimination.

8x−5y=11
4x−3y=5

Answer 1

x=
`(5)/(8) y + (11)/(8)` x =
`(3)/(4) y + (5)/(4)`

Explanation:

8x−5y=11 = Let's solve for x.

8x−5y=11

Step 1: Add 5y to both sides.

8x−5y+5y=11+5y

8x=5y+11

Step 2: Divide both sides by 8.

8x

8

=

5y+11

8

x=

5

8

y+

11

8

4x−3y=5= Let's solve for x.

4x−3y=5

Step 1: Add 3y to both sides.

4x−3y+3y=5+3y

4x=3y+5

Step 2: Divide both sides by 4.

4x

4

=

3y+5

4

x=

3

4

y+

5

4