Question

2x+10y=24,2x+14y=-44 find the value of 'x' and y​

Answer 1

Answer:

y=-17,x=97

Step-by-step explanation:

1. use elimination method
2. or use substitutions method.
3. then find value of y and then value of x

Answer 2

Given :-

» 2x + 10y = 24 --------(i)

» 2x + 14y = -44 --------(ii)

we can solve these type of questions with many methods like cross multiplication, graphical method, substitution, elimination etc.

the easiest and the simplest for me is elimination and substitution method.

so let us solve this question by those two methods.

by elimination method,

subtracting equation (ii) from equation (i), we get

➡ (2x + 10y - 24) - (2x + 14y + 44) = 0

➡ 2x + 10y - 24 - 2x - 14y - 44 = 0

➡ -4y - 68 = 0

➡ -4y = 68

➡ y = 68/-4 = -17

putting value of y = -17 in equation (i)

➡ 2x + 10(-17) = 24

➡ 2x - 170 = 24

➡ 2x = 24 + 170

➡ x = 194/2

➡ x = 97

» x = 97 and y = -17

by substitution method,

from equation (i) we get,

➡ 2x + 10y = 24

➡ x = (24 - 10y)/2

putting value of x = (24 - 10y)/2 in equation (ii)

➡ 2(24 - 10y)/2 + 14y = -44

➡ 24 - 10y + 14y = -44

➡ 4y = -44 - 24

➡ 4y = -68

➡ y = -68/4

➡ y = -17

now put value of y = -17 in any of the equation.

➡ 2x + 14(-17) = -44

➡ 2x - 238 = -44

➡ 2x = -44 + 238

➡ x = 194/2

➡ x = 97

again, x = 97 and y = -17

solve by any method, you'll always get the same answer.