Question

What is the x-value of the solution to the system of equations?

Answer 1

Answer:

4

Step-by-step explanation:

3[5x+4y=8]

4[2x-3y=17]

You need to multiply the first equation by three and the second by four. That way you can get the Y's to be the same. Simplified it will look like this.

15x+12y=24

8x-12y=68

Now you add the two equation together. The Y's will cancel out.

15x+12y=24

+ 8x-12y=68

You are left with 23x=92

lastly you divide by 23.

this gives you x=4

Answer 2

5x + 4y = 8
2x - 3y = 17
(multiply the bottom equation by -2.5)
5x + 4y = 8
+
-5x + 7.5y = -42.5
—————————
(5x’s cancel out)
11.5y = -34.5
—— ———
11.5 11.5
y = -3

(Plug y in the equations to find x)

5x + 4(-3) = 8
5x - 12 = 8
5x = 20
—-
5
x = 4

(confirm using the other equation)

2(4) - 3(-3) = 17
8 + 9 = 17
17 does equal 17!