Question

y = –3x + 6

y= 9

What is the solution to the system of equations?

(–21, 9)

(9, –21)

(–1, 9)

(9, –1)

Answer 1

since y is 9, we can just sub it in the first equation,
9 = -3x + 6
3 = -3x
x = -1
so the answer is the third one

Answer 2

Answer:

(-1,9)

Step-by-step explanation:

$y = -3x + 6$

$y= 9$

To find out the solution we substitute the value of y in the first equation

given y =9

we plug in 9 for y in the first equation $y = -3x + 6$

$9 = -3x + 6$

Subtract 6 on both sides

$9-6 = -3x + 6-6$

$3 = -3x$

Now divide both sides by -3

$x=-1$

The value of $x=-1, y=9$