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:
x coordinate of the solution is 3.7
Step-by-step explanation:
[tex]5x+2y=22, -2x+6y=3[/tex]
USe elimination method to solve for x and y
To eliminate y , multiply the first equation by -3
[tex]5x+2y=22[/tex]
[tex]-15x-6y=-66[/tex]
[tex]-2x+6y=3[/tex]
------------------------------------
[tex]-17x=-63[/tex]
Divide both sides by -17
[tex]x=\frac{63}{17}[/tex]
Now plug in 63/17 for x and find out y
[tex]-2x+6y=3[/tex]
[tex]-2\frac{63}{17} +6y=3[/tex]
[tex]\frac{-126}{17} +6y=3[/tex]
Add the fraction on both sides
[tex]6y=3+\frac{126}{17}[/tex]
[tex]6y=\frac{177}{17}[/tex]
Divide by 6 on both sides
[tex]y=\frac{59}{34}=3.4705882=3.5[/tex]
[tex]x=\frac{63}{17}=3.7058823=3.7[/tex]
