Question

Solve the following system of equations. Enter the x-coordinate of the solution. Round your answer to the nearest tenth.

Answer 1

Answer:

x = 5.7 and y = 3.8

Step-by-step explanation:

We have given a system of equation.

5x+2y = 21                                    eq(1)

-2x+6y = -34                                 eq(2)

We have to find the solution of the given system.

Multiplying eq(1) by 3 , we have

15x+6y = 63

Subtracting above equation from eq(2), we have

15x+6y - (-2x+6y) = 63-(-34)

15x+6y+2x-6y = 63+34

17x+0 = 97

17x = 97

x = 97/17

x = 5.706≅5.7

Putting the value of x in eq(1) , we have

5(5.706)+2y = 21

2y = 21-28.53

2y = 7.53

y = 7.53/2

y = 3.765

We have to round it to the nearest tenth

y = 3.8

Hence, the solution of given system is x = 5.7 and y = 3.8