Question

13. Writing When solving the system of equations6y + 2x = 3using substitution, which variable will you2x + y = 8solve for and which equation will you use to substitute into?

Answer 1

we have the system of equations

6y + 2x = 3 ------> equation 1

2x + y = 8 -----> equation 2

Solve by substitution

step 1

isolate variable y in equation 2

y=-2x+8

step 2

substitute equation 2 in equation 1

6(-2x+8)+2x=3

solve for x

-12x+48+2x=3

12x-2x=48-3

10x=45

x=4.5

Find out the value of y

y=-2x+8

y=-2(4.5)+8

y=-1

the solution is the point (4.5,-1)