Question

08.03 MC)

Asystem of equations is shown below:
y=8x-2
ox-7
y
What is the solution to the system of equations? (1 point)
-5.38)
0 1-5 -38)
h 15, 38)
(5.-38)​

Answer 1

(5,38)

Explanation:

The correct question is

A system of equations is shown below:

y = 8x − 2

y = 9x − 7

What is the solution to the system of equations?

(−5, 38)

(−5, −38)

(5, 38)

(5, −38)

we have

`y=8x-2` ----> equation A

`y=9x-7` ----> equation B

Solve the system by substitution

substitute equation B in equation A

`9x-7=8x-2`

solve for x

`9x-8x=7-2`

`x=5`

Find the value of y

Substitute the value of x in the equation A or in the equation B

`y=8(5)-2=38`

therefore

The solution is the point (5,38)