Question

Use elimination to solve each system of equations:
9. 4x + 5y = 6
16x – y = 14

10. 4x + 2y = 8
6x – 7y = –20

x +5y = 17
3x +2y = 0

x – 2y = 3
2x + 3y = 6

3x – y = 2
x + 2y = 5

6x + 5y = 4 5.
6x – 7y = –20

4x + 3y = 24
2x – 3y = 12

Answer 1

Step-by-step explanation:

3x+2y=17 2x+5y=26

Elimination i need help solving it

We need to eliminate either the x or the y by adding

or subtracting the equations. In order for that to work,

the coefficients must be equal.

Multiply the first equation by 5.

5 * (3x + 2y) = 5 * 17

15x + 10y = 85

Multiply the second equation by 2.

2 * (2x + 5y) = 2 * 26

4x + 10y = 52

Subtract the re-worked second equation

from the re-worked first equation.

15x + 10y = 85

-(4x + 10y = 52)

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11x = 33

x = 3

Substitute that into one of the original equations.

2x + 5y = 26

2(3) + 5y = 26

6 + 5y = 26

5y = 26 - 6

5y = 20

y = 4

x = 3, y = 4