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leonid [27]
3 years ago
5

-12x - 17 = -89 pleaseee help ❤️❤️

Mathematics
1 answer:
Ratling [72]3 years ago
8 0
Add 17 to both sides, making the equation
-12x = -72
Then to isolate x, divide both sides by -12, eventually getting x = 6
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Find the solutions for 5x+3y=30 and 3x+6y=12<br> FAST PLS i will mark !!!!!
Art [367]

Answer:

x=\frac{48}{7}\\ y=-\frac{10}{7}

Step-by-step explanation:

5x+3y=30\\3x+6y=12

Let's solve the second equation for x

3x+6y=12\\3x=12-6y\\x=\frac{12-6y}{3}

Now let's replace this in the first equation.

5x+3y=30\\5(\frac{12-6y}{3})+3y=30

Distribute the 5

\frac{60-30y}{3}+3y=30

Individually solve the fractions.

\frac{60}{3}-\frac{30}{3}y+3y=30

Solve;

20-10y+3y=30\\20-7y=30

Subtract 20 from both sides.

20-20-7y=30-20\\-7y=10

Divide both sides by -7

\frac{-7y}{-7}=\frac{10}{-7}

y=-\frac{10}{7}

Now replace the value of y in any of the two equations to find x.

3x+6y=12\\3x+6(-\frac{10}{7})=12

3x-\frac{60}{7}=12\\

add \frac{60}{7} on both sides.

3x-\frac{60}{7}+\frac{60}{7} =12+\frac{60}{7}

3x=\frac{(12)(7)+60}{7}

3x=\frac{84+60}{7}\\ 3x=\frac{144}{7}

Multiply by the reciprocal fraction of 3. I suppose you know that 3 is 3/1 hence the inverted fraction would be 1/3

(\frac{1}{3})(3x)=(\frac{144}{7})(\frac{1}{3})

x=\frac{48}{7}

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