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Maths-

General

Easy

Question

What are the X- and Y- coordinates of the Solution for the system of equations
X = -Y + 4
2X + 3Y = 4

hint Hint:

find y by substituting x (in terms of y) in the equation and find x by substituting value of y in the equations.

The correct answer is: x=8 is the X - coordinate and y = -4 is the Y-coordinate for the solution.

Ans :- 8 and -4 are the X- and Y- coordinates of the Solution for the system of equations respectively.
Explanation :-
$x equals negative y plus 4$ — eq 1
$2 x plus 3 y equals 4 space$ —- eq 2
Step 1 :- find y by substituting $x equals negative y plus 4 text in eq end text 2$
$2 left parenthesis negative y plus 4 right parenthesis plus 3 y equals 4 not stretchy rightwards double arrow negative 2 y plus 8 plus 3 y equals 4$
$not stretchy rightwards double arrow y equals 4 minus 8 not stretchy rightwards double arrow y equals negative 4$
$not stretchy rightwards double arrow y equals negative 4$
Step 2 :- substitute value of y and find x
$not stretchy rightwards double arrow x equals negative y plus 4 not stretchy rightwards double arrow x equals negative left parenthesis negative 4 right parenthesis plus 4$
$not stretchy rightwards double arrow x equals 4 plus 4$
$therefore x equals 8$
$therefore x equals 8 text is the end text X minus text coordinate and end text y$
$equals negative 4 text is the end text Y minus text coordinate for the solution. end text$

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