Question

4x-4y=8
5x-3y = 18
Find X

Answer 1

X equals 6

4x-4y=8
+4y +4y
————— << equals
4x=4y+8
—- = —— << divide
4 4
—————- << equals
x=y+2

5x-3y=18
—————
5(y+2)-3y=18
———————- << equals
2y+10=18 << simplified
+-10 +-10
—————- << equals
2y=8
—-=— << divide
2 2
——— <y=4

x=4+2
———- << equals
x=6

Answer 2

Let's solve your system by substitution.

4x−4y=8 and 5x−3y=18

Step: Solve 4x−4y=8 for x:

4x − 4y = 8

4x − 4y + 4y = 8 + 4y (Add 4y to both sides)

4x = 4y + 8

`(4x)/(4) = (4y + 8)/(4)`

x = y + 2

Step: Substitute y + 2 for x in 5x − 3y = 18:

5x − 3y = 18

5(y+2) − 3y = 18

2y + 10 = 18 (Simplify both sides of the equation)

2y + 10 + (−10) = 18 + (−10) (Add -10 to both sides)

2y = 8

y = 4

Step: Substitute 4 for y in x = y + 2:

x = y + 2

x=4+2

x=6 (Simplify both sides of the equation)

Answer:

x = 6 and y =4