Answer:
[tex] \sf \: x=8 and y=1[/tex]
Step-by-step explanation:
Let's solve your system by elimination.
x+3y=11;4x−y=31
Multiply the first equation by -4,and multiply the second equation by 1.
−4(x+3y=11)
1(4x−y=31)
Becomes:
−4x−12y=−44
4x−y=31
Add these equations to eliminate x:
−13y=−13
Then solve−13y=−13for y:
−13y=−13
−13y/−13=−13/−13
(Divide both sides by -13)
y=1
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
x+3y=11
Substitute1foryinx+3y=11:
x+(3)(1)=11
x+3=11(Simplify both sides of the equation)
x+3+−3=11+−3(Add -3 to both sides)
x=8
