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5x + 3y = 41
2x + 3y = 20
show me step by steps how to do this

1 Answer

2 votes

Answer:

x=7 and y=2

Explanation:

In this case, you want to use elimination

1. multiply the second equation by -1

5x + 3y = 41

2x + 3y = 20

turns into

5x + 3y = 41

-2x + 3y = 20

2. combine the equations

3x=21

3. solve for x

3x=21

3x/3=21/3

x=7

4. Now you want to plug x back into the original equation

5x+3y=41

turns into

5(7)+3y=41

5. Then solve for y

35+3y=41

35+3y-35=41-35

3y=6

3y/3=6/3

y=2

6. results

x=7 and y=2

User Josh Deeden
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