Question

Solve the system of equations:
2x+5y=16
-5x-2y=2

Answer 1

see...

Step1: Solve one of the equations for one of the variables. We note that is simplest to solve the second equation for y.
3x+2y=−2x+1=3y

Step2: SUBSTITUTE y into first equation.
3x+2(−2x+1)=−2x+1=3y

Step3: Solve first equation for x.
x=−2x+1=−1y

Step4: To find y, substitute −1 for x into second equation.
x=y=−1−2⋅(−1)+1

The solution is:
x=-1 y=3

You can check the solution using the above calculator.

Answer 2

2x+5y=16 ------(1
-5x-2y=2-------(2

Multiplying eq (1 by 2 and (2 by 5 and then adding (1 and (2, we find

4x+10y=32 ------(1
-25x-10y=10-------(2
--------------------------
-21 x +0 = 42
x= 42/(-21)
x= -2
substituting x=2 in eq (1, we find:
2*(-2)+5y=16

i.e. -4 +5y =16
i.e. 5y = 16 +4
i.e. 5y = 20
i.e. y= 20/5
i.e. y= 4
Hence (-2, 4) are the required solutions of the given system of equations.



@lizzieparty

Answer 3

@paki please chek your solution and answer.