Question

Use the elimination method to solve the system of equations. Choose the

correct ordered pair.
3x + 5y = 48
-3x+ 5y = 12

Answer 1

Answer: x=6

Explanation:

Let's solve your system of equations by elimination.

3x+5y=48;−3x+5y=12

Steps:

3x+5y=48

−3x+5y=12

Add these equations to eliminate x:

10y=60

Then solve

10y=60

for y:

10y/10=60/10

(Divide both sides by 10)

y=6

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

Write down an original equation:

3x+5y=48

Substitute

6 for y in 3x+5y=48:3x+(5)(6)=48

3x+30=48

(Simplify both sides of the equation)

3x+30+−30=48+−30

(Add -30 to both sides)

3x=18

3x/3=18/3

(Divide both sides by 3)

x=6

Answer 2

Answer: x=6

Y=6

Explanation:

Using the elimination method

3x+5y=48.....equ1

-3x+5y=12......equ2

Add equation 1 &2

3x+5y=48

+

-3x+5y=12

Answer =

10y=60

Y=60/10

Y=6

Substitute for y in equation 1

3x+5y=48

3x+5(6)=48

3x+30=48

3x=48-30

3x=18

X=18/3

X=6

Therefore,

X= 6

Y= 6