2x-y=0;x+y=135
answer the question by substitution method.
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2x-y=0;x+y=135
answer the question by substitution method.
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Answer:
[tex]x = 45,y = -90[/tex]
Step-by-step explanation:
Given equations: [tex]2x + y= 0[/tex] --[tex](1)[/tex]
[tex]x+y = 135[/tex] --[tex](2)[/tex]
We have to solve this using substitution method.
In substitution method we have to substitute the value of a variable from one equation into the other, hence, finding its solution
⇒ [tex]2x + y = 0[/tex]
⇒ [tex]y = -2x[/tex]
Substituting this value of [tex]y[/tex] in equation [tex](2)[/tex]
⇒ [tex]x + (2x) = 135[/tex]
⇒ [tex]3x = 135[/tex]
⇒ [tex]x = \frac{135}{3}[/tex]
⇒ [tex]x = 45[/tex]
Now substituting this value of [tex]x[/tex] in equation [tex](1)[/tex]
⇒ [tex]2(45) + y = 0[/tex]
⇒ [tex]90 + y = 0[/tex]
⇒ [tex]y = -90[/tex]
∴ The solution of [tex]2x + y = 0, x+y=135[/tex] is [tex](45,-90)[/tex]