Answer:
y=16 and x=19
Step-by-step explanation:
Let's solve your system by elimination.
−2x+3y=10;10x−9y=46
Multiply the first equation by 5,and multiply the second equation by 1.
5(−2x+3y=10)
1(10x−9y=46)
Becomes:
−10x+15y=50
10x−9y=46
Add these equations to eliminate x:
6y=96
Then solve6y=96for y:
6y=96
6y
6
=
96
6
(Divide both sides by 6)
y=16
Write down an original equation:
−2x+3y=10
Substitute16foryin−2x+3y=10:
−2x+(3)(16)=10
−2x+48=10(Simplify both sides of the equation)
−2x+48+−48=10+−48(Add -48 to both sides)
−2x=−38
−2x
−2
=
−38
−2
(Divide both sides by -2)
x=19
Answer:
x=19 and y=16
