Answer:
(4,0)
Explanation:
Let's solve your system by elimination.
5x+2y=20;6x+5y=24
Multiply the first equation by 5,and multiply the second equation by -2.
5(5x+2y=20)
−2(6x+5y=24)
Becomes:
25x+10y=100
−12x − 10y = −48
Add these equations to eliminate y:
13x = 52
Then solve13x=52for x:
13x=52
(Divide both sides by 13)
x=4
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
5x+2y=20
Substitute 4 for x in 5x + 2y = 20:
(5)(4)+2y=20
2y+20=20 (Simplify both sides of the equation)
2y+20+ −20 = 20 + −20 (Add -20 to both sides)
2y = 0
(Divide both sides by 2)
y=0