Y = –3x 6 y = 9 what is the solution to the system of equations? (–21, 9) (9, –21) (–1, 9) (9, –1)

2 answers:

5 0

If the equation is y = -3x+6 and y=9, substitute 9 for y then solve for x.

9 = -3x + 6 (subtract 6 from both sides)
3 = -3x (divide each side by -3)
-1 = x

(-1,9) is the solution.

Romashka [77]3 years ago

4 0

we have

The system of equations

$y=-3x+6$ -------> equation $1$

$y=9$ -------> equation $2$

Substitute equation $2$ in equation $1$

$9=-3x+6$

subtract $6$ both sides

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

$3=-3x$

Divide by $-3$ both sides

$x=-1$

the solution is the point $(-1,9)$

therefore

the answer is

the solution to the system of equations is the point $(-1,9)$

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Fiesta28 [93]

Assuming I understand your question correctly, in that you’re looking for just some descriptions of the differences between the functions. If so, then I’d say:

First graph both functions, the f(x) and the g(x). Then spot the differences.
Note that the g(x) function has shifted towards the right compared with the f(x) function.
Another way that the g(x) differs from the f(x) function is that it’s stretched. The vertex is in the IV quadrant for g(x) rather than at the origin for f(x).

I hope that helps.