2x + y = 9 3x - 4y = -25 in x= and y = format

Answer 1

Step 1) Multiply the equation 2x + y = 9 by 4 this eliminates the y variable so that you can solve for x

so 4(2x + y = 9) is 8x + 4y = 36

Step 2) Add the two equations 8x + 4y = 36 and 3x - 4y = -25

8x + 4y = 36

3x - 4y = -25

11x = 11

Step 3) solve the equation 11x = 11 so x = 1

Step 4) let x=1 in the equation 3x - 4y = -25 and solve for y

so 3(1) - 4y = -25

3 - 4y = -25

-4y = -28

y = 7

** Answer x = 1 and y = 7

Answer 2

I'll do the first equation in detail for you. We have

2x + y = 9

and we want to isolate x and y. First, let's subtract y from both sides:

2x = 9 - y

Now, we divide both sides by 2:

x = (9-y)/2

This gives us a formula for x. Now, let's find the formula for y. Starting over:

2x + y = 9

All we need to do is subtract 2x from both sides to get

y = 9 - 2x

One way to check your formulae is to plug in the formula for x into your y equation, or vice versa. You should come up with x = x or y = y depending on your choice, which is always true.

Let me know if you have any questions!