Question

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

5x+2y=22
-2x+6y=3

Answer 1

The answer to your question is: x = 3.7

Explanation:

5x+2y=22 (1)

- 2x+6y=3 (2)

Multiply (1) by -3

-3 ( 5x+2y=22 ) = -15x -6y = -66

Solve by elimination

-15x -6y = -66

- 2x+6y=3

- 17 x = -63

x = -63 / -17

x = 3.7

-2(3.7) + 6y = 3

-7.4 + 6y = 3

6y = 3 + 7.4

6y = 10.4

y = 1.7

Answer 2

x = 63/17 ≅ 3.7

y = 59/34 ≅ 1.7

Explanation:

5*x+2*y=22 (1)

-2*x+6*y=3 (2)

First, isolate x in the first equation, to get

5*x=22 - 2*y

x = 22/5 - (2/5)*y (3)

Then, replace eq. 3 into eq. 2, as follows

-2*[22/5 - (2/5)*y] + 6*y = 3

-44/5 + (4/5)*y + 6*y = 3

(34/5)*y = 3 + 44/5

y = (59/5)*(5/34)

y = 59/34 ≅ 1.7

Replacing this value in eq.1, we get

5*x+2*(59/34) = 22

5*x = 22 - 59/17

x = (315/17)*(1/5)

x = 63/17 ≅ 3.7