The equation 10x + 5y = 150

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