Answer:
[tex]x=4[/tex]
[tex]y=-3[/tex]
Step-by-step explanation:
we are given system of equations as
[tex]4x+2y=10[/tex]
[tex]3x+2y=6[/tex]
we can subtract both equations
and we get
[tex]4x+2y-(3x+2y)=10-6[/tex]
[tex]4x+2y-3x-2y=10-6[/tex]
[tex]x=4[/tex]
now, we can find y
we can plug x=4 into anyone equation
[tex]4\times 4+2y=10[/tex]
[tex]16+2y=10[/tex]
[tex]16+2y-16=10-16[/tex]
[tex]2y=-6[/tex]
[tex]y=-3[/tex]
so, we get solution as
[tex]x=4[/tex]
[tex]y=-3[/tex]
