Question

Solve the system of equations using the substitution method.

y = 7x – 16,

y = 2(2x – 5)

What is the solution?

Answer 1

The answer to the system of equations is (2,-2)

First, we can substitute in $7x-16$ for y in the other equation

This will give us $7x-16=2(2x-5)$

Next, we distribute the 2 throughout the parenthesis

$7x-16=4x-10$

Now we can solve for x. Begin by adding 16 to each side

$7x=4x+6$

Now we can subtract 4x from each side

$3x=6$

Lastly, we can divide each side by 3

$x=2$

Now, we need to substitute in the value that we got for x into one of the equations to find the y value.

$7(2) -16 =y$

This becomes $14-16= y$

So $y=-2$

This means that the solution to the system of equations is (2,-2)

Answer 2

Answer:

2,-2

Step-by-step explanation:

i took the assignment on edge 2020