Answer:
Solving the system of equations using the substitution method, the solution is: x=2 and y=-2
Explanation:
(1) y=7x-16
(2) y=2(2x-5)
Substituting "y" of the equation (1) in the equation (2)
(2) 7x-16=2(2x-5)
Applying the distributive property to eliminate the parentheses on the right side of the equation:
7x-16=2(2x)-2(5)
Multiplying:
7x-16=4x-10
Solving for x: Subtracting 4x and adding 16 both sides of the equation:
7x-16-4x+16=4x-10-4x+16
3x=6
Adding like terms:
Dividing by 3 both sides of the equation:
3x/3=6/3
x=2
Replacing x by 2 in the equation (1):
(1) y=7(2)-16
y=14-16
y=-2
Solution: x=2 and y=-2