The Following steps are used to rewrite the polynomial expression 3(x+4y) + 5(2x-y)

1 answer:

6 0

Let's solve this problem step by step.

1. First of all we have this equation:

$3(x + 4y) + 5(2x - y)$

2. Let's apply distributive property:

$3x+12y + 10x - 5y$

3. Let's order this expression according to the variables:

$3x + 10x + 12y-5y$

4. Let's sum equal terms:

$13x + 7y$

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How do I solve this equation?

Keith_Richards [23]

Answer:

$y=\frac{7}{2}x+11$

Step-by-step explanation:

To solve, we need to find the y-intercept (b). In order to find the y-intercept, we can plug in the slope and the (x,y) coordinate pair given to us into the equation to solve for the y-intercept:

y=mx+b

4=(-7/-2)*-2+b

4=14/-2+b

4=-7+b

Add 7 to both sides

b=11

Therefore the equation is:

$y=\frac{7}{2}x+11$ (note that the fraction is positive since the two negatives cancel out)

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