-2x-3y=-34
-3x+3y=24
May someone please help me?
If you add the two equations, you get
-5x = -10
Thank you Steve!
Of course! I'd be happy to help you with these equations.
To solve this system of equations, we'll use the method of elimination. The goal is to eliminate one of the variables by performing operations on the equations in order to get an equation where one variable cancels out.
Let's start by adding the two equations together. When we add the left sides of the equations, -2x + (-3x) becomes -5x. Similarly, -3y + 3y cancels out to give us 0.
-2x - 3y = -34 (Equation 1)
-3x + 3y = 24 (Equation 2)
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-5x + 0 = -10
After simplifying, we end up with -5x = -10.
To solve for x, we need to isolate it. We'll divide both sides of the equation by -5:
-5x / -5 = -10 / -5
x = 2
Now that we know x = 2, we can substitute this value back into one of the original equations to solve for y. Let's use Equation 1:
-2x - 3y = -34
Substituting x = 2:
-2(2) - 3y = -34
-4 - 3y = -34
To solve for y, we'll isolate it by moving -4 to the other side:
-4 + 4 - 3y = -34 + 4
-3y = -30
Now, divide both sides of the equation by -3 to solve for y:
-3y / -3 = -30 / -3
y = 10
So the solution to the system of equations is x = 2 and y = 10.