Answer:
x=−3 and y=4
Step-by-step explanation:
Multiply the first equation by -2,and multiply the second equation by 1.
−2(2x+5y=14)
1(4x+2y=−4)
Becomes:
−4x−10y=−28
4x+2y=−4
Add these equations to eliminate x:
−8y=−32
Then solve−8y=−32for y:
−8y=−32
−8y
−8
=
−32
−8
(Divide both sides by -8)
y=4
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
2x+5y=14
Substitute4foryin2x+5y=14:
2x+(5)(4)=14
2x+20=14(Simplify both sides of the equation)
2x+20+−20=14+−20(Add -20 to both sides)
2x=−6
2x
2
=
−6
2
(Divide both sides by 2)
x=−3
