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What is the solution to the system
y=x+6, y+2x=0

User Merita
by
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1 Answer

4 votes

Answer: (x, y) = (-2, 4).

Explanation:

To solve the system of equations y=x+6 and y+2x=0, we can use the substitution method. We can solve one of the equations for one variable and substitute the result into the other equation. Let’s solve the first equation for y:

y = x + 6

Now we can substitute this expression for y in the second equation:

(x + 6) + 2x = 0

Simplifying the equation, we get:

3x + 6 = 0

Subtracting 6 from both sides, we get:

3x = -6

Dividing both sides by 3, we get:

x = -2

Now that we have the value of x, we can substitute it back into either equation to find the value of y. Let’s use the first equation:

y = x + 6

y = -2 + 6

y = 4

Therefore, the solution to the system of equations y=x+6 and y+2x=0 is (x, y) = (-2, 4).

User Arash Milani
by
8.2k points