Answer:
a) x= 29/4 and y = 1/2.
b) x= -2 and y = 7.
Step-by-step explanation:
a) explanation:
Multiply the first equation by -2,and multiply the second equation by 1.
They become: −4x−6y=−32 and 4x+2y=30
Add these equations to eliminate x:
−4y=−2
Then solve−4y=−2for y:
Divide both sides by -4.
y = -1/2.
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
2x+3y=16
Substitute 1/2 for y in2x+3y=16:
2x+3(1/2)=16
2x+3/2=16
2x=29/2
x=29/4
b) explanation:
Multiply the first equation by -2,and multiply the second equation by 1.
Becomes: −4x−6y=−34 and 5x+6y=32
Add these equations to eliminate y:
x=−2
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
2x+3y=17
Substitute −2 for x in2x+3y=17:
(2)(−2)+3y=17
3y−4=17
3y−4+4=17+4 (Add 4 to both sides)
3y=21
Divide by 3.
y= 7
(∩^o^)⊃━☆
