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?

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:

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

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

x=3

y=-1

Step-by-step explanation:

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

2: 10

step-by-step explanation: