Solve the system of equations by substitution - 5x+8y= -86 y=6x-43
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Answer:
Step-by-step explanation:
First, write out the equation as it is given in the problem:
Now, you have to split up the "-5x" to get to factored form. The way to do this is to look for <em>the factors of "a" times "c" that sum to "b"</em>:
So, in this problem, a=1, b=-5, and c=-24. So, find the factors of (1*-24) that sum to (-5). To clarify, (1*-24)=-24, so you have to find factorsof -24 that sum to -5.
Let's write out a list of factors.
Therefore, our two factors will be 3x and -8x.
Now, let's rewrite our equation with these new factors in place of the -5x:
Next, find your factored expressions:
Take the GCF from each set of parenthesis:
The GCFs that you took out will become your second in the set for factorde form. It will be written as "x-8".
Therefore, your equation in factored form will be: