Question

X+4y=22 solve the system by elimination (show work)
4x+y=13

Answer 1

y = 5 and x = 2

Explanation:

Let's solve your system by elimination.

x+4y=22;4x+y=13

Multiply the first equation by -4,and multiply the second equation by 1.

−4(x+4y=22)

1(4x+y=13)

Becomes:

−4x−16y=−88

4x+y=13

Add these equations to eliminate x:

−15y=−75

Then solve−15y=−75for y:

−15y=−75

y = 5

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

x+4y=22

Substitute5foryinx+4y=22:

x+(4)(5)=22

x+20=22(Simplify both sides of the equation)

x+20+−20=22+−20(Add -20 to both sides)

x = 2