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Katyanochek1 [597]
3 years ago
15

Solve using the substitution method 2x+3y=1 y=x-8

Mathematics
2 answers:
Morgarella [4.7K]3 years ago
8 0
I will try to solve your system of equations.<span><span>y=<span>x−8</span></span>;<span><span><span>2x</span>+<span>3y</span></span>=1</span></span>Step: Solve<span>y=<span>x−8</span></span>for y:Step: Substitute <span>x−8 </span>for y in <span><span><span><span>2x</span>+<span>3 y</span></span>=1</span>:</span><span><span><span>2x</span>+<span>3y</span></span>=1</span><span><span><span>2x</span>+<span>3<span>(<span>x−8</span>)</span></span></span>=1</span><span><span><span>5x</span>−24</span>=1   </span>(Simplify both sides of the equation)<span><span><span><span>5x</span>−24</span>+24</span>=<span>1+24 </span></span>(Add 24 to both sides)<span><span>5x</span>=25</span><span><span><span>5x</span>5</span>=<span>255 </span></span>(Divide both sides by 5)<span>x=5</span>Step: Substitute 5 for x in <span><span>y=<span>x−8</span></span>:</span><span>y=<span>x−8</span></span><span>y=<span>5−8</span></span><span>y=<span>−3</span></span>(Simplify both sides of the equation)Answer:<span><span>y=<span>−<span><span>3<span> and </span></span>x</span></span></span>=<span>5</span></span>
QveST [7]3 years ago
7 0
Subsitute

y=x-8
since y=x-8, subsitute x-8 for y

2x+3(x-8)=1
distribute (a(b+c)=ab+ac)
3(x-8)=3x-24

2x+3x-24=1
combine like terms
5x-24=1
add 24 to both sides
5x=25
divide 5
x=5
subsitute
y=x-8
y=5-8
y=-3

x=5
y=-3 is solution
in (x,y) forom
(5,-3) is the solution
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