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2 years ago

WILL GIVE BRAINLIESTI NEED TO FIND X AND Y

Mathematics

1 answer:

IRISSAK [1]2 years ago

5 0

Answer:

x = 3

y = 2

Step-by-step explanation:

Equations

7x - 7y = 7

-4x - 7y = - 26 Multiply both sides of the equation by - 1

-1(-4x - 7y = - 26)

4x + 7y = 26

Solution

Add the two equations together

7x - 7y = 7

4x + 7y = 26

11x = 33 Divide by 11

11x/11 = 33/11

x = 3

4x + 7y= 26 Use this equation to solve for y. Use x = 3

4*3 + 7y = 26 Combine the left

12 + 7y = 26 Subtract 12 from both sides

12 - 12 + 7y = 26 - 12 Combine

7y = 14 Divide by 7

7y/7 = 14/7

y = 2

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The equation is " $\bold{p^2-5p-36=0}$ "

Step-by-step explanation:

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$\to (3x+4)^2-36=15x+20\\\\\to (3x+4)^2-36=5(3x+4)\\\\\to p^2-36=5p\\\\$

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$\to \bold{p^2-5p-36=0}\\\\$

$\to p^2-(9-4)p-36=0\\\\\to p^2-9p+4p-36=0\\\\\to p(p-9)+4(p-9)=0\\\\\to (p-9)(p+4)=0\\\\\to p-9=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \to p+4=0\\\\\to \bold{p=9 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \to p=-4}\\\\\to 3x+4=9 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \to 3x+4=-4\\\\\to 3x=5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \to 3x=-8\\\\\to x=\frac{5}{3} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \to x=- \frac{8}{3}\\\\$

The value of p: 9 and -4

Equation is: $\bold{p^2-5p-36=0}$

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