Answer:
x = -4, y = 3/2
Step-by-step explanation:
simplify the 1st equation by dividing each term by 4 to get:
x + 2y = -1
-5x + 2y = 23
Subtract to get: 6x = -24
x = -4
find 'y': 2y - 5(-4) = 23
2y + 20 = 23
2y = 3
y = 3/2
Answer:
y is equal to 1.5, and x is equal to -4
Step-by-step explanation:
given:
[tex]4x + 8y = -4[/tex]
[tex]2y - 5x = 23[/tex]
We can start by factoring 4 out of the first equation:
[tex]x + 2y = -1[/tex]
Now let's multiply it by -5:
[tex]-5x - 10y = 5[/tex]
We'll rearrange the other equation to match that (just for clarity):
[tex]-5x + 2y = 23[/tex]
Now let's subtract the modified equation from that:
[tex]\begin{array}{c}-5x + 2y = 23\\-5x - 10y = 5\\ \ \ \ \ \ \ \ \ \ \ 12y = 18\end{array}[/tex]
So y is equal to 18/12, or 1.5
Let's plug that into one of the first equations and see what we get:
[tex]2y - 5x = 23\\2(1.5) - 5x = 23\\3 - 5x = 23\\-5x = 20\\x = -4[/tex]
Giving us an x value of negative four. Let's plug that into the other equation to confirm:
[tex]4x + 8y = -4\\4(-4) + 8y = -4\\-16 + 8y = -4\\-4 + 2y = -1\\2y = 3\\y = 1.5[/tex]
That matches up, so our answer is correct.
