Answer:
3x + 8y = 31
5x + 2y = 12
Let's solve your system by elimination.
Multiply the second equation by -4, then add the equations together.
(3x + 8y = 31)
−4 (5x + 2y = 12)
Becomes:
3x + 8y = 31
−20x − 8y = −48
Add these equations to eliminate y:
−17x = −17
Then solve −17x = −17 for x:
−17x = −17
−17x −17 = −17 − 17 (Divide both sides by -17)
x = 1
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
3x + 8y = 31
Substitute 1 for x in 3x + 8y = 31:
(3)(1) + 8y = 31
8y +3 = 31 (Simplify both sides of the equation)
8y + 3 − 3 = 31 − 3 (Add -3 to both sides)
8y = 28
8y8 = 288 (Divide both sides by 8)
y = 7/2
