Question

This is solving systems of equations by elimination. kinda confusing still though ​

Answer 1

y = 0

x = 2

Explanation:

1. first you have to solve for (x), so take 10y+4=2x and divide by 2 (to isolate the variable). this gives the equation x = 5y + 4

2. now that you have an equation for x, you can substitute that into the top equation: -14 = -20y - 7 (5y+2)

3. now, distribute the 7: -14 = -20y -35y -14

4. combine like terms: -14 = -55y - 14

5. move the -14 on the left to the right: 0 = -55y (because adding 14 to each side cancels both out)

6. now isolate (y): 0/-55 = y, and 0/x is always 0, so y=0

7. by filling in (0) as y in the second equation, you get 10(0) + 4 = 2x, which ultimately gives the answer of x=2

you can check that its correct as well by doing -14 = -20(0)-7(2), which is true

hope this helped!