Question

Look at the system of linear equations.What is the x–coordinate of the solution to the system of equations?
2x -4y = -8
-3x+5y=
​

Answer 1

SOLUTION

COMPLETE QUESTION

Look at the system of linear equations.What is the x–coordinate of the solution to the system of equations?

2x - 4y = - 8

-3x + 5y = 9

EVALUATION

Here the given system of equations are

$\sf{2x - 4y = - 8 \: \: \: \: - - - - (1)}$

$\sf{ - 3x + 5y = 9 \: \: \: \: - - - - (2)}$

( 5 × Equation 1 ) + ( 4 × Equation 2 ) gives

10x - 12x = - 40 + 36

$\sf{ \implies \: - 2x = - 4}$

$\sf{ \implies \: x = 2}$

From Equation 1 we get

( 2 × 2 ) - 4y = - 8

$\sf{ \implies \: 4 - 4y = - 8}$

$\sf{ \implies \: - 4y = - 12}$

$\sf{ \implies \: y = 3}$

Hence x = 2 , y = 3

Hence x–coordinate of the solution to the system of equations = 2

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