Simultaneous equations:
1. 2x+2y=10
x+2y=6
2. 3x+y=18
2x+y=13
3. x+y=1
x-y=5
4. 3x+4y=29
x-4y=-17
5. 4c+3y=11
2x+y=7

1. x = 4 and y = 1

2. x= 5 and y = 3

Use the examples below to complete 3 and 4.

Step-by-step explanation:

To solve each system of equations, use elimination.

1. Stack the equations and subtract to perform elimination.

 2x + 2y = 10

-   x + 2y = 6

     x         = 4

Substitute x = 4 into an equation to solve for y.

2(4) + 2y = 10

8 + 2y = 10

2y = 2

y = 1

2. Stack the equations and subtract to perform elimination.

 3x + y = 18

- 2x + y = 13

     x         = 5

Substitute x = 5 into an equation to solve for y.

3(5) + y = 18

15 + y = 18

y = 3

Continue the same method for numbers 3 and 4.