Question

Y=4x+5
2x+y=17
Use substitution to solve the system of equations.

Answer 1

y = 4x + 5

2x + y = 17

2x + 4x + 5 = 17

6x + 5 = 17

6x + 5 = 17

-5 | -5

x = 2

Proof that x equals 2:

6x + 5 = 17

-5 | -5

6x | 12

6 | 6

x = 2

Now to figure out what y equals.

y = 4x + 5

6x + 5 = 17

-6 | -6

x + 5 | 11

5 | 5 11/5 = 2.2

y = 2.2

2.2 rounded equals 2.

x = 2, y = 2

So each box should have a 2.

The answer is (2,2).

Let me know if this is the correct answer. :)

Answer 2

(2,13)

Explanation:

Step 1:

Substitute
`y` for
`4x+5` in the second equation,
`2x+y=17`

Step 2:

With the new equation,
`6x+5=17`, we can subtract 5 from both sides

Step 3:

`6x=12`

Divide both sides by 6

`x=2`

Step 4:

Plug in 2 for x

`y=4(2)+5`

`y=8+5\\y=13`

Step 5:

Check our work

`2(2)+13=17\\4+13=17\\17=17`