Answer:
(5,38)
Step-by-step 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
[tex]y=8x-2[/tex] ----> equation A
[tex]y=9x-7[/tex] ----> equation B
Solve the system by substitution
substitute equation B in equation A
[tex]9x-7=8x-2[/tex]
solve for x
[tex]9x-8x=7-2[/tex]
[tex]x=5[/tex]
Find the value of y
Substitute the value of x in the equation A or in the equation B
[tex]y=8(5)-2=38[/tex]
therefore
The solution is the point (5,38)
