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Mariana [72]
3 years ago
9

Solve the system of equations. \begin{aligned} & -5x+13y = -7 \\\\ & 5x+4y=24 \end{aligned} ​ −5x+13y=−7 5x+4y=24 ​ x= e

quals? y= equals?
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
7 0

Answer:

The solution of the given equations

x =4 , y = 1

Step-by-step explanation:

<u>Explanation</u>:-

<u>Step(l</u>):-

Given the system of equations -5x+13y = -7 ..(l)

                                                     5x+4y=24 ..(ll)

<u>Step(ll)</u>

Adding (l) and (ll) equations and cancelling '5x' terms we get

         13y+4y = -7 +24

               17y = 17

dividing '17' on both sides, we get

                y=1

<u>Step(lll):-</u>

Substitute y=1 in equation (l) , we get

-5x+13y = -7

-5x + 13(1) = -7

subtracting '13' on both sides, we get

-5x +13 -13= -7 -13

-5x = -20

Dividing '-5' on  both sides, we get

x = \frac{-20}{-5}

x = 4

<u>Conclusion</u>:-

The solution of the given equations

x =4 , y = 1

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