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3 years ago

Please help and show how to solve.. 2/3 y+1/6 y+y 7(x + y) - 7x

Mathematics

1 answer:

Georgia [21]3 years ago

7 0

( 4 / 6 )y + (1 / 6 ) y + ( 6 / 6)y =[ ( 4 + 1 + 6 ) / 6]y = 11y / 6 ;;
7x + 7y - 7x = 7y ;

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What is the solution to the system of equations? {x+2y=10y=12x+3

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The solution to given system of equations are $(x,y) = (\frac{4}{25} , \frac{123}{25})$

Solution:

Given that we have to find solution to the system of equations

Given equations are:

x + 2y = 10 ------ eqn 1

y = 12x + 3 ------ eqn 2

We can solve the above equations by substitution method

Substitute eqn 2 in eqn 1

x + 2(12x + 3) = 10

x + 24x + 6 = 10

25x = 10 - 6

25x = 4

$x = \frac{4}{25}$

Substitute the above value of x in eqn 2

$y = 12(\frac{4}{25}) + 3\\\\y = \frac{48}{25} + 3\\\\y = \frac{48+75}{25}\\\\y = \frac{123}{25}$

Thus the solution to given system of equations are $(x,y) = (\frac{4}{25} , \frac{123}{25})$

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