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PLZ CAN SOMEONE ANSWER THIS !!

Solve the following system of equations

5x + 2y = -16
3x + 7y = 2

**please show work if you can**

thank you in advance :)

PLZ CAN SOMEONE ANSWER THIS !! Solve the following system of equations 5x + 2y = -16 3x-example-1
User Lgiro
by
2.9k points

1 Answer

10 votes
10 votes

Answer:

(-4,2)

Explanation:

First we have to find a common multiple to use to add and find the system of equations. We need to eliminate one of the variables in order to solve.

Since 5 * 3 = 15, and 3 * -5 = 15, -15x and 15x will cancel each other out. Therefore x will be eliminated.

Before:

5x + 2y = -16

3x + 7y = 2

After:

15x + 6y = -48 <----------Now we solve for y

-15x + -35y = -10

+----------------------

-29y = -58

-29 -29

y = 2

Now what we do is we choose and equation and solve for x, since it is still unknown. Any equation is fine but I will choose the second one since it has easy numbers.

3x + 7y = 2

3x + 7(2) = 2

3x + 14 = 2

-14 -14

----------------------

3x = -12

3 3

x = -4

Therefore our final answer is (-4,2)

User Chrismcg
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2.8k points