Answer:
x=2 and y=−5
Step-by-step explanation:
Let's solve your system by elimination.
7x−y=19;2x−3y=19
Multiply the first equation by -3,and multiply the second equation by 1.
−3(7x−y=19)
1(2x−3y=19)
Becomes:
−21x+3y=−57
2x−3y=19
Add these equations to eliminate y:
−19x=−38
Then solve−19x=−38for x:
−19x=−38
(Divide both sides by -19)
x=2
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
7x−y=19
Substitute2forxin7x−y=19:
(7)(2)−y=19
−y+14=19(Simplify both sides of the equation)
−y+14+−14=19+−14(Add -14 to both sides)
−y=5
y=-5
