Question

Equation 1: 8x+2y=308x+2y=30

Answer 1

Answer:

Part a) We should try to eliminate the y's because the coefficients are the same

Part b) The solution is the point (6,-9)

Step-by-step explanation:

Part a) Which variable pair should we try to eliminate?

we have

$8x+2y=30$ ----> equation 1

$7x+2y=24$ ----> equation 2

Solve by elimination

We should try to eliminate the y's because the coefficients are the same

Part b) What is the solution to the system?

Multiply equation 2 by -1 both sides

$-1(7x+2y)=-1(24)$

$-7x-2y=-24$ -----> equation 3

Adds equation 1 and equation 3

$8x+2y=30\\-7x-2y=-24\\-------\\8x-7x=30-24\\x=6$

Find the value of y

$8x+2y=30[/tex[tex]8(6)+2y=30$

$2y=30-48$

$y=-9$

The solution is the point (6,-9)