Solve the system of equations using the substitution method. y = 7x – 16, y = 2(2x – 5)

Sure, here are the steps to solve the system of equations using the substitution method:

Step 1: We have two equations:

y = 7x – 16, and y = 2(2x – 5)

Step 2: Simplify the second equation:

y = 4x - 10

Step 3: Now we have:

y = 7x – 16, and y = 4x - 10

Step 4: Since both equations are equal to y, we can set them equal to each other:

7x – 16 = 4x - 10

Step 5: Solve for x:

Subtract 4x from both sides to get:

3x - 16 = -10

Then, add 16 to both sides to get:

3x = 6

Finally, divide both sides by 3 to solve for x:

x = 2

Step 6: Substitute x = 2 into the first equation to solve for y:

y = 7(2) - 16 y = 14 - 16 y = -2

So, the solution to the system of equations is x = 2 and y = -2.