I BEG YOU I WILL DO ANYTHING HELP algebraically solve the following system of equations. Show all your work
2x+3y=32
5x-4y= -81
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(Solving for x on question - 2x + 3y = 32)
2x + 3y = 32
Step 1: Add -3y to both sides.
2x + 3y + −3y = 32 + −3y
2x = −3y + 32
Step 2: Divide both sides by 2.
[tex]\frac{2x}{2}[/tex] = [tex]\frac{-3y+32}{2}[/tex]
x = [tex]\frac{-3}{2}[/tex]⁻y + 16
(Solving for y on question - 2x + 3y = 32)
2x + 3y = 32
Step 1: Add -2x to both sides.
2x + 3y + −2x = 32+ −2x
3y = −2x + 32
Step 2: Divide both sides by 3.
[tex]\frac{3y}{3}[/tex] = [tex]\frac{-2x+32}{3}[/tex]
y = [tex]\frac{-2}{3}[/tex]x + [tex]\frac{32}{3}[/tex]
(Solving for x on question - 5x - 4y = -81)
5x − 4y = −81
Step 1: Add 4y to both sides.
5x − 4y + 4y = −81 + 4y
5x = 4y − 81
Step 2: Divide both sides by 5.
[tex]\frac{5x}{5}[/tex] = [tex]\frac{4y-81}{5}[/tex]
x = [tex]\frac{4}{5}[/tex]y + [tex]\frac{-81}{5}[/tex]
(Solving for y on question - 5x - 4y = -81 )
5x − 4y = −81
Step 1: Add -5x to both sides.
5x − 4y + −5x = −81 + −5x
−4y = −5x − 81
Step 2: Divide both sides by -4.
[tex]\frac{-4y}{-4}[/tex] = [tex]\frac{-5x-81}{-4}[/tex]
y = [tex]\frac{-5}{4}[/tex]x + [tex]\frac{81}{4}[/tex]