Answer:
[tex]x=3[/tex]
[tex]y=-1[/tex]
Step-by-step explanation:
we are given system of equations as
[tex]4x-3y=15[/tex]
[tex]2x+2y=4[/tex]
Firstly, we will solve for y from second equation
[tex]2(x+y)=4[/tex]
[tex]x+y=2[/tex]
we can isolate y
[tex]y=2-x[/tex]
now, we can plug it into first equation
and we get
[tex]4x-3(2-x)=15[/tex]
now, we can solve for x
[tex]7x-6=15[/tex]
[tex]7x=21[/tex]
[tex]x=3[/tex]
now, we can find y
[tex]y=2-3[/tex]
[tex]y=-1[/tex]
So, solution is
[tex]x=3[/tex]
[tex]y=-1[/tex]
Answer:
x = 3 & y = -1
Step-by-step explanation:
If we multiply the 2nd equation given by -2, then add the 2 equation, we will eliminate x and solve for y. The process is shown below:
[tex](-2)(2x+2y=4)\\=-4x-4y=-8\\---------\\4x-3y=15\\+\\-4x-4y=-8\\--------\\=-7y=7\\y=-1[/tex]
We have y = -1.
Now substituting this value of y into the first equation, we can solve for x. Shown below:
[tex]4x-3y=15\\4x-3(-1)=15\\4x+3=15\\4x=12\\x=3[/tex]
So we have x = 3
