Question

Match each system to the number the first equation can be multiplied by to eliminate the
x-terms when adding to the second equation.
10x - 4y = -8
2
-5x + 6y = 10
역
-2x + 6y = 3
4x + 3y = 9
1/2
3x - By = 1
6x + 5y = 12
-1/2
- 8x + 10y = 16
- 4x - 5y = 13
-2

Answer 1

Answer/Step-by-step explanation:

✔️10x - 4y = -8

-5x + 6y = 10

Multiply the first equation by ½ to eliminate the x-term

Thus:

½ × 10x - 4y = -8 (eqn 1)

5x - 2y = -4

✔️-2x + 6y = 3 (eqn 1)

4x + 3y = 9

To eliminate the x-terms when adding to the second equation, multiply the first equation by 2

Thus:

2 × -2x + 6y = 3

-4x + 12y = 6

✔️3x - 8y = 1 (eqn 1)

6x + 5y = 12

To eliminate the x-terms when adding to the second equation, multiply the first equation by -2

Thus:

-2 × 3x - 8y = 1 (eqn 1)

-6x + 16y = -2

✔️-8x + 10y = 16 (eqn 1)

-4x - 5y = 13

To eliminate the x-terms when adding to the second equation, multiply the first equation by -½

Thus:

-½ × -8x + 10y = 16 (eqn 1)

4x - 5y = -8