Question

Solve the system of equations. Show your work/explain how you found your answer.

2x - 4y = 10
x + 5y = 40

Answer 1

X = 15 Y=5

Explanation:

• Line up the common terms (ex: x under x, y under y)
• Try to find a common term for one variable so you can cancel it out.
• in this case, it's easier to cancel out the x terms.
• multiply the 2nd equation by -2. You should get -2 -20 = -80.
• eliminate the x terms and subtract negative 10 from 4y and subtract 80 from 10.
• you should be left with -14y = -70
• isolate the y and you will get y equals 5.

Now that we know what y equals, plug that value into any one of the two equations.

Ex: 2x -4(5) =10

2x -20 = 10

2x =30

x =15

Hope this helped !