Answer: x =4 , y =1
Explanation:
Multiply the first equation by 4,and multiply the second equation by 3.
4(4x+3y=19)
3(3x−4y=8)
Becomes:
16x+12y=76
9x−12y=24
Add these equations to eliminate y:
25x=100
Then solve 25x=100 for x:
25x=100
(Divide both sides by 25)
x =4
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
4x+3y=19
Substitute4forxin4x+3y=19:
(4)(4)+3y=19
3y+16=19( Simplify both sides of the equation)
3y+16+−16 = 19+−16 (Add -16 to both sides)
3y=3
(Divide both sides by 3)
y=1