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MatroZZZ [7]
2 years ago
12

Solve the simultaneous equation: 5 x + 2 y = 25 5 x − y = 10

Mathematics
2 answers:
lisov135 [29]2 years ago
8 0

Answer:

x= 3 y= 5

Step-by-step explanation:

5x+ 2y=25

5x-y=10

therefore 2(5x-y=10)

10x-2y=20

equation 2÷ eqation1

we get 15x=45

x=3

y=5

Liono4ka [1.6K]2 years ago
4 0

Answer:

(x, y) = (3, 5)

Step-by-step explanation:

5x+2y=25\\5x-y=10

Solving by elimination here again, there are 2 good options available. Either multiply the whole bottom equation by -1 to cancel the x, or by 2 to cancel the y. I'll do the latter:

5x+2y=25\\\\2(5x-y=10)\\10x-2y=20

Add from top to bottom:

\rightarrow (5x+10x)+(2y-2y)=25+20\\\rightarrow 15x=45\\\rightarrow x=3

Now, with the value of x, solve for y in either of the equations. I'll choose the second one here:

\rightarrow 5x-y=10\\\rightarrow 5(3)-y=10\\\rightarrow 15-y=10\\\rightarrow -y=-5\\\rightarrow y=5

(x, y) = (3, 5)

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