Answer:
[tex]y=3[/tex]
[tex]x=-4[/tex]
Step-by-step explanation:
Given:
Equation 1. x+8y=20
Equation 2. 4x+6y=2
1. Find equation x using equation 2.
4x = 2-6y
2. Divide both sides by 4 to isolate x
x = [tex]\frac{1}{2}-1\frac{1}{2} y[/tex]
3. Using x, we can substitute equation 1.
[tex]\frac{1}{2}-1\frac{1}{2}y+8y=20[/tex]
4. Combine like terms
[tex]\frac{1}{2}+6\frac{1}{2} y=20[/tex]
5. Minus 1/2 from both sides
[tex]6\frac{1}{2}y=19\frac{1}{2} [/tex]
6. Divide both sides by [tex]6\frac{1}{2} [/tex] to isolate y
Answer is y = 3
7. Plug y in for equation 2
4x + 18 = 2
4x = -16
x = -4
Answer is x = -4
Hope this helps :)
Have a nice day!
