Question

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

Answer 1

The solution of the given equations

x =4 , y = 1

Explanation:

Explanation:-

Step(l):-

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

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

Step(ll)

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

Step(lll):-

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 = (-20)/(-5)`

x = 4

Conclusion:-

The solution of the given equations

x =4 , y = 1