Question

Graph the system of equations on graph paper to answer the question. { y=14x+3 { y=2x+10 What is the solution for this system of equations? ( The { mark is bigger and includes both y='s inside of it.)

Answer 1

Hello!

For this you can substitute the y in one of the equations with the other

14x + 3 = 2x + 10

The you solve it like an algebraic equation.

You subtract 2x from both sides

12x + 3 = 10

Subtract 3 from both sides

12x = 7

Divide both sides by 12

x = 7/12

The you substitute x in for one of the equations

y = 2(7/12) + 10

y = 28/ 24 + 10

y = 14 / 12 + 10

y = 7 / 6 + 10

y = 10 7/6

So the answers are x = 7/12 and y = 10 7/6

Hope this helps!