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Solve the system with elimination
2x + 5y = 13
-4x - 3y = 9

Solve the system with elimination 2x + 5y = 13 -4x - 3y = 9-example-1

1 Answer

3 votes

Answer:

x = -6 and y =5

Explanation:

2x + 5y = 13 (call this equation '1')

-4x - 3y = 9 (call this '2')

multiply '1' by 2

4x + 10y = 26 (call this '3')

eliminate by adding '2' and '3':

(-4 + 4)x + (-3 + 10)y = 9 + 26

7y = 35

y = 5

sub that into '1':

2x + 5(5) = 13

2x + 25 = 13

2x = 13 - 25 = -12

x = -6

sub both x = -6 and y =5 into '2' to make sure everything adds up:

-4(-6) - 3(5) = 24 - 15 = 9

so x = -6 and y = 5

User Mayank Raj
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