Answer: x=6
Step-by-step 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
