Question

The equation 10x + 5y = 150​

Answer 1

Answer:

x = 14.5      y = 1

Step-by-step explanation:

get the x alone by subtracting 5y from both sides

10x + 5y = 150

      - 5y    -5y

10x = -5y + 150

divide both sides by 10

10x = -5y + 150

10            10

x = -0.5y + 15

Now that we've solved for x, we can plug it into the original equation

10 (-0.5y + 15) + 5y = 150

now we solve for y the same way we did x

first distribute 10 into (-0.5y + 15)

-5 + 150 +5y = 150

now we get the y alone

-5 + 150 + 5y = 150

+5  -150            -150 +5

5y = 5

now divide by 5

5y = 5

5     5

y = 1

now that we have both x and y, we plug y into our solution for x

x = -0.5y + 15

x = -0.5(1) + 15

x= -0.5 + 15

x = 14.5