Respuesta :
Answer:
(3,8)
Step-by-step explanation:
y - 5 = x
4x - y = 4
Since y-5 = x, substitute y-5 in place of x in the second equation:
4x- y = 4
4(y-5) - y = 4
4y - 4*5 - y = 4
3y - 20 = 4
3y = 24
y =8
Solve for x:
y - 5 = x
8-5 = x
3 = x
Check:
4x - y = 4
4(3) - 8 = 4
12 - 8 = 4
4 = 4
Check
y - 5 = x
8 - 5 = 3
3 = 3
Check!
y - 5 = x
4x - y = 4
Arrange:
y - 5 = x
-x + y = 5
-x + y = 5
4x - y = 4
Add together:
-x + y = 5
4x - y = 4
3x = 9
3x = 9
Solve for x:
x = 9 ÷ 3
x = 3
Substitute and solve y:
y - 5 = x
y - 5 = 3
y = 3 + 5
y = 8
x = 3
y = 8