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Solve the system by substitution.
y, equals, minus, 2, x
y=
−2x
y, equals, minus, 9, x, plus, 21
y=
−9x+21
Answer
Attempt 1 out of 2

left parenthesis(
,
right parenthesis) Submit Answer

Answer 1

To solve the system by substitution, we can set the two equations equal to each other:

-2x = -9x + 21

Now, let's solve for x:

Add 9x to both sides:

7x = 21

Divide by 7:

x = 3

Now that we have found x, we can plug it back into one of the equations to solve for y. Let's use the first equation y = -2x:

y = -2(3)
y = -6

Therefore, the solution to the system of equations is x = 3 and y = -6.