Answer:
x = 4 , y = -1
Step-by-step explanation:
Note that both equations equal y. Set the two equations equal to each other.
x - 5 = y = -x + 3
x - 5 = -x + 3
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.
First, add x and 5 to both sides of the equations:
x (+x) - 5 (+5) = -x (+x) + 3 (+5)
x + x = 3 + 5
2x = 8
Next, divide 2 from both sides of the equation:
(2x)/2 = (8)/2
x = 8/2
x = 4
Plug in 4 for x in the given equations and solve:
y = x - 5
y = (4) - 5
y = -1
y = -x + 3
y = -(4) + 3
y = -1
x = 4 , y = -1 are your answers.
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