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

x=3 y=-1

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

Answer 2

First Box: B or 2x+3(8-3x)=3

Second Box: C or 3

Third Box: A or -1

Correct For Edg 2020

Why?

Given the system of equation:

2x+3y=3 ......[1]

y=8-3x ......[2]

as per the given condition;

Substitute the value of y from the equation [2] into the [1] equation;

Using distributive property on LHS, (i.e, )

or

2x+24-9x =3

Combine like terms;

Subtract 24 from both the sides,

Simplify:

-7x =-21

Divide by -7 to both sides of an equation;

Simplify:

x =3

Substitute the value of x =3 in equation [2] to solve for y;

Hence, the answer for this question is:

The resulting equation is: 2x+3(8-3x)=3

And the value of x =3 and that of y = -1