Question

Use the system of equations to answer the questions. 2x + 3y = 3, y = 8 - 3x. The value of y from the second equation is substituted back into the first equation. What is the resulting equation? What is the value of x? What is the value of y?

Answer 1

Answer:

x=3 y=-1

Step-by-step explanation:

To get the value of x you need to put in the second equation which is y=8-3x as the y value for the first equation which is 2x+3y=3 making it

2x+3(8-3x)=3

2x+24-9x =3

24-7x =3

-7x=-21

Multiplying both sides by -7

x= 3

After getting an x value you substitute it in the equation in order to find your y value which is

2x+3y=3

2(3)+3y=3

3y=-3

Multiplying both sides by 3

y= -3

3

y=-1