Answer:
x = 6 and y = 10
Step-by-step explanation:
Substract (-5x+3y=0) from (7x-4y=2)
[tex] \sf \: - 5x + 3y = 0 \\ \sf \: \: \: \: 7x - 4y = 2 \\ = = = = = = = = \\ \sf2x - 1y = 2 \\ = = = = = = = = =[/tex]
Let's solve your system by elimination.
7x−4y=2;2x−1y=2
Multiply the second equation by -4, then add the equations together.
(7x−4y=2)
−4(2x−1y=2)
Becomes:
7x−4y=2
−8x+4y=−8
Add these equations to eliminate y:
−x=−6
Then solve−x=−6for x:
−x=−6
−x/−1 = −6/−1
(Divide both sides by -1)
x=6
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
7x−4y=2
Substitute6forxin7x−4y=2:
(7)(6)−4y=2
−4y+42=2(Simplify both sides of the equation)
−4y+42+−42=2+−42(Add -42 to both sides)
−4y=−40
−4y/−4 = −40/−4
(Divide both sides by -4)
y=10
