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

2y=22-5x

y=11-2.5x

Now that you've found the equation for y, substitute it into the second equation.

-2x+6(11-2.5x)=3

-2x+66-15x=3

-17x=-63

x=3.70588...

Round to nearest tenth-

x=3.7

Answer 2

x coordinate of the solution is 3.7

Explanation:

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

USe elimination method to solve for x and y

To eliminate y , multiply the first equation by -3

`5x+2y=22`

`-15x-6y=-66`

`-2x+6y=3`

------------------------------------

`-17x=-63`

Divide both sides by -17

`x=(63)/(17)`

Now plug in 63/17 for x and find out y

`-2x+6y=3`

`-2(63)/(17) +6y=3`

`(-126)/(17) +6y=3`

Add the fraction on both sides

`6y=3+(126)/(17)`

`6y=(177)/(17)`

Divide by 6 on both sides

`y=(59)/(34)=3.4705882=3.5`

`x=(63)/(17)=3.7058823=3.7`