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What is the solution to the system of equations graphed below?
y = -2x - 3
y = 3x + 2

User Timmmm
by
3.5k points

2 Answers

3 votes

Answer:

(-1,-1)

Explanation:

-1 = -2(-1) - 3

-1 = 2 - 3

-1 = -1 TRUE

-1 = 3(-1) + 2

-1 = -3 + 2

-1 = -1 TRUE

User Gianlucca
by
3.0k points
3 votes

Answer:

y = -1, x = -1

Explanation:

Because they are both equal to y, the equations can be rewritten as:

-2x - 3 = 3x + 2

You are now able to rearrange this equation to find the value of x.

-3 = 5x + 2 (Add 2x to each side)

-5 = 5x (Subtract 2 from each side)

x = -1 (Divide both sides by 5)

Finally, you can substitute x back into the equation to work out the value of y:

y = -2(-1) - 3

y = 2 - 3

y = -1

You are now left with the results, y = -1 and x = -1.

User Striatum
by
3.7k points