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Veronika [31]
3 years ago
5

-3(4x + 3) +4(6x + 1)= 43 Step by step solution Need help ASAP PLEASE!!

Mathematics
1 answer:
Leni [432]3 years ago
4 0

Answer:

x=4

Step-by-step explanation:

-3(4x+3)

you need to break open the paranthesis

-3 times 4x equals to -12x. -3 times 3 equals to -9. That means that this expression is equal to -12x-9.

4(6x+1)

you need to break open the paranthesis

4 times 6x equals to 24x. 4 times 1 equals to 4. That means that this expression is equal to 24x+4.

-12x-9+24x+4=43

move all variables to the left side and numbers to the right side

-12x+24x=43-4+9

12x=48

x=4

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Step-by-step explanation:

<em>Ok, we have two triangles measured in square meters (m²)</em>

∆ a = 1/3 b          and           ∆ b = 3 1/2

<em>Since these two areas have something in common (symbol a) we can consider they are almost the same, so we put them like this:</em>

∆ a =>           <u>1/3 b = 3 1/2</u>          <= ∆ b

<em>Now that we know we can move some values. first we are gonna multiply the mixed fraction (3 1/2) to make it a regular fraction. As 3 is a whole, we can also write it on the following way:</em>

\frac{3}{1} +\frac{1}{2}

<em>We add these fractions:</em>

\frac{3}{1} +\frac{1}{2} = \frac{(3x2)+(1x1)}{1x2} =\frac{6+1}{2} =\frac{7}{2}

<em>The equation with this part solved is:</em>

\frac{1}{3} b=\frac{7}{2}

<em>Since the </em><em>1/3 </em><em>is multiplying, it goes to the other side dividing the number on the right:</em>

<em>b=(\frac{7}{2} )/(\frac{1}{3} )</em>

<em>And then, we can solve the rest by inverting the second fraction (\frac{1}{3}) and multiplying it by the first one:</em>

<em>b=\frac{7}{2} / \frac{1}{3} \\</em>

<em>b=\frac{7}{2} x \frac{3}{1} =\frac{7x3}{2x1} =\frac{21}{2}</em>

<em>And that's it. Let me know if you have any doubts :D</em>

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