Question

What is the solution of the system? Use substitution. 3x + 2y = 7 y = –3x + 11

a. (6, -3)
b. (6, -7)
c. (-4 19/2)
d. (5, -4)

Answer 1

Hello,
y=-3x+11
3x+2(-3x+11)=7
==>-3x=7-22
==>-3x=-15
==>x=5
y=-3*5+11=-4

Answer D

Answer 2

The solution of the given system of equations is:

Option: d (d. (5,-4) )

Explanation:

We are given a system of equation as:

`3x+2y=7--------(1)`

and
`y=-3x+11---------(2)`

Now we are asked to find the solution of the system of equations using substitution method.

Hence, we substitute the value of y from equation (2) in equation (1) to obtain:

`3x+2(-3x+11)=7\\\\3x-6x+22=7\\\\-3x+22=7\\\\3x=22-7\\\\3x=15\\\\x=5`

Now on putting the value of x back to equation (2) we get:

`y=-3* 5+11\\\\y=-15+11\\\\y=-4`

Hence, the solution is: (5,-4)