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I need this done by tonight!

Solve the system of equations

-3x+2y=-6
5x-2y=18

Please help me

User Bantic
by
5.4k points

1 Answer

0 votes

Answer:

the answer is (x,y) = (6,6)

Explanation:

1) first solve the equation for 2y

you should've gotten:

2y = -6 + 3x

5x - 2y = 18

2) substitute the value of 2y into the equation

5x - 2y = 18

so, 5x -(-6 + 3x) = 18

3) now solve 5x -(-6 + 3x) = 18

4) from that solving that equation, u should've gotten x = 6

5) now plug in 6 for x in the other equation, solve for y

( • stands for multiplication if u didn't know, we use this in higher levels of math so multiplication symbols and x variables aren't confused)

5 • 6 - 2y = 18

6) after solving for y in the previous equation, u should've gotten y = 6

7) now we know that x = 6 and y = 6, however it is always important to check if ur answer is correct by plugging in the x value y values u ended up with into the original system of equations.

checking ur work would look something like this:

2(6) = -6 + 3(6)

5(6) - 2(6) = 18

hope this helps <3

User Leylekseven
by
6.1k points