Answer: x = 2 , and y = -5 : (2, -5)
We are given two linear system of equations
y = x - 7 ------------------ equation 1
y = -4x + 3 ---------------- equation 2
Using substitution method
Since, y = x - 7
Substitute the value of y into equation 2
x - 7 = -4x + 3
Collect the like terms
x + 4x = 3 + 7
5x = 10
Divide both sides by 5
5x/5 = 10/5
x = 2
To find y, put the value of x into equation 2
Since equation 2 is y = -4x + 3
y = -4x + 3
y = -4(2) + 3
y = -8 + 3
y = -5
The answer is x = 2, and y =- 5