How to solve 8x+y=23 -10x-y=-27

Mathematics

1 answer:

yuradex [85]3 years ago

5 0

<h2>Hey there!</h2>

<h3>At first we have find the value of "y",</h3>

<h3>Finding the value of "y"</h3>

Here,

8x + y = 23 - 10x - y = - 27

10(8x + y) = 23 × 10 8 (- 10x - y) = - 27 × 8

80x + 10y = 230 ---> (i) - 80x - 8y = - 216 ----> (ii)

<h3>By elimination method,</h3>

<h3>Equation (i) - (ii)</h3>

(80x + 10y) - (-80x - 8y) = 230 - (-216)

=> 80x + 10y + 80x + 8y = 230 + 216

=> 10y + 8y = 446

=> 18y = 446

=> y = 446/18

=> y = 24.7

<h3>Putting the value of "y" in Equation (i)</h3>

80x + 10y = 230

=> 80x + 10 × 24.7 = 230

=> 80x + 247 = 230

=> 80x = 230 - 247

=> 80x = -17

=> x = -17/80

=> x = - 0.21

<h3>Therefore the values of "x" and "y" are</h3>

x = -0.21 and y = 24.7

<h2>Hope it helps </h2>

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