Question

3x-4y=21
4x-3y=14
if (x,y) is a solution to the system of equations above, what is the value of y-x?
Explain your answer step by step <3

Answer 1

Answer:

x=-1 y=-6

Hope you understand the answer

Answer provided in the photo above

Answer 2

Value of y-x is -5.

Given:

• $3x - 4y = 21 \\ 4x - 3y = 14$

To find:

• if (x,y) is a solution to the system of equations above, what is the value of y-x?

Solution:

Tip: Add the equations for the result, no need to solve for x and y separately.

Step 1:

Add both equations.

$3x - 4y = 21 \\ 4x - 3y = 14 \\ - - - - - - - \\ 7x - 7y = 35 \\ - - - - - - -$

or

take 7 common from both sides and cancel.

$x - y = 5$

Step 2:

Take (-) common.

To find the value of y-x, take (-) common from LHS and send to RHS.

$- ( - x + y) = 5$

or

$\bf \red{y - x = - 5}$

Thus,

Value of y-x is -5.

Learn more:

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