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aksik [14]
3 years ago
8

13x=-21-6y and -8x=36+6y

Mathematics
2 answers:
IgorLugansk [536]3 years ago
6 0

Answer:

x=3\\y=-10

Step-by-step explanation:

13x=-21-6y\\-8x=36+6y

Let's take one of the equations and solve for x. I'll take the first one.

13x=-21-6y

Divide by 13.

x=\frac{-21-6y}{13}

Now replace x in the second equation.

-8x=36+6y\\-8(\frac{-21-6y}{13} )=36+6y

Distribute -8

\frac{168+48y}{13}=36+6y

Break down the fraction.

\frac{168}{13}+\frac{48}{13}y=36+6y

Subtract \frac{168}{13}

\frac{48}{13}y=36+6y-\frac{168}{13}

Subtract 6y

\frac{48}{13}y-6y=36-\frac{168}{13}

Combine like terms;

\frac{48-13*6}{13}y=\frac{36*13-168}{13}

Solve;

\frac{48-78}{13}y=\frac{468-168}{13}

Keep solving;

\frac{-30}{13}y=\frac{300}{13}

Multiply by the negative reciprocal of the fraction next to y.

(-\frac{13}{30} )\frac{-30}{13}y=\frac{300}{13}(-\frac{13}{30} )

On the right side; 13 and 13 become 1. 300/30 = 30/3 = 10

y=-10

After having found y, replace it in any of the equations to find x.

13x=-21-6y\\13x=-21-6(-10)\\13x=-21+60\\13x=39\\x=\frac{39}{13}\\ x=3

katrin [286]3 years ago
4 0

Answer:

x=3

y=-10

Step-by-step explanation:

13x=-21-6y...............(1)

-8x=36+6y................(11)

Add (11) to (1)

5x=15-6y+6y

5x=15

Divide both sides by 5

5x/5=15/5

x=3

Substitute x=3 in 13x=-21-6y

13(3)=-21-6y

39=-21-6y

Collect like terms

39+21=-6y

60=-6y

Divide both sides by -6

60/-6=-6y/-6

-10=y

y=-10

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