im a senior in high school and doing credit recovery and need help with math a lot.

Tutors, sign in to answer this question.

TINA H. | Multi-Subject TutorMulti-Subject Tutor

First, solve one of the equations for one of the expressions:

-y -5x = -7

+5x +5x

-y = 5x - 7

y = -5x + 7

Then, substitue this for y in the other equation:

2(-5x + 7) -2x = 14

-10x +14 - 2x = 14

-12x +14 = 14

-14 -14

-12x = 0

-12 -12

x = 0

Then, solve the other equation by substituting this value for x.

y = -5x + 7

y = -5(0) +7

y = 0 + 7

y = 7

Now check your work:

-y-5x=-7 Solve where x=0 and y=7

-7 -5(0) = -7

-7-0=-7

-7 = -7

2y-2x=14 Solve where x=0 and y=7

2(7) -2(0) = 14

14-0=14

14=14

George T. | George T.--"It's All About Math!"George T.--"It's All About Math!"

Sean

Lets label the two equations as A) and B):

A) -y-5x=-7

B) 2y-2x=14

First, we can solve equation A) for y, as follows:

Add 5x to both sides: **-y=-7+5X**

Multiply both sides by -1: **y=7-5x**

Next we can **substitute** this result for y into equation B), simplify, and solve for x as follows:

B) 2(7-5x)-2x=14

14-10x-2x=14

14-12x=14

-12x=14-14

-12x=0

Finally, we can plug 0 in for the value of x in **either** equation, to solve for y. Let's use equation A):

A) -y-5x=-7

-y-(5)(0)=-7

-y=-7

We can check this result by substituting the values for x and y (0 and 7) back into each equation A) and B) to ensure that the values work. This can be left to the student.

Hope this helps!

George T.

Already have an account? Log in

By signing up, I agree to Wyzant’s terms of use and privacy policy.

Or

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Your Facebook email address is associated with a Wyzant tutor account. Please use a different email address to create a new student account.

Good news! It looks like you already have an account registered with the email address **you provided**.

It looks like this is your first time here. Welcome!

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Please try again, our system had a problem processing your request.

Michael S.

Patient and Knowledgeable Phi Beta Kappa Math and Science Tutor

$8.75 per 15 min

View Profile >

Cliff W.

Experienced educator/tutor in English,Humanities, ACT, Math, Science

$11.25 per 15 min

View Profile >

Carla A.

Get help with Math! ACT and SAT prep, high school, and college!

$9.75 per 15 min

View Profile >