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?

The solution of the given equations

x =4 , y = 1

Step-by-step 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 = 4

Conclusion:-

The solution of the given equations

x =4 , y = 1

a

step-by-step explanation:

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500