Solve the system of equations using the substitution method. y = 7x - 16, y = 2 (2x - 5) What is the solution? (,)

Solving the system of equations using the substitution method, the solution is: x=2 and y=-2

Step-by-step 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