Answer:
x = 2 , y = 4.
(2,4)
Step-by-step explanation:
Simultaneous equation:
2x - y = 10 E1
y = [tex]-\frac{1}{2}x[/tex] + 5 E2
Substitute equation 2 into equation 1 for the y value.
2x - [tex]-\frac{1}{2}x[/tex] + 5 = 10
2x - [tex]-\frac{1}{2}x[/tex] = 5
2x + [tex]\frac{1}{2}x[/tex] = 5
[tex]\frac{5}{2} x[/tex] = 5
x = 2
Substitute the x value into equation 2.
y = [tex]-\frac{1}{2}2[/tex] + 5
y = -1 + 5
y = 4
