Question

6. Solve the system using substitution.

Answer 1

4x=(-3x)+18
7x=18
x≈2.5

4(2.5)=3y-2
10=3y-2
12=3y
y=4

your answer is B.(2.5,4)

Answer 2

Answer:

The answer is the option A

$(4,6)$

Step-by-step explanation:

we have

$4x=3y-2$ -----> equation A

$18=3x+y$ ----> isolate the variable y

$y=-3x+18$ -----> equation B

Substitute the equation B in the equation A

$4x=3(-3x+18)-2$

$4x=-9x+54-2$

$4x+9x=52$

$13x=52$

$x=4$

substitute the value of x in the equation B

$y=-3(4)+18=6$

therefore

the solution is the point $(4,6)$