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Homework- One to One Solutions
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Maths-

General

Easy

Question

Use Substitution to solve each system of equations :
X = -Y + 3
3X - 2Y = -1

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=1 and y =2 is the solution of the given pair of equations.

Ans :- $x equals 1 semicolon y equals 2$
Explanation :-
$x equals negative y plus 3 space$ — eq 1
$3 x minus 2 y equals negative 1$ —- eq 2
Step 1 :- find y by substituting $x equals negative y plus 3$ in eq 2.
$3 left parenthesis negative y plus 3 right parenthesis minus 2 y equals negative 1 not stretchy rightwards double arrow negative 3 y plus 9 minus 2 y equals negative 1$
$not stretchy rightwards double arrow negative 5 y equals negative 1 minus 9 not stretchy rightwards double arrow 5 y equals 10$
Y = 2
Step 2 :- substitute value of y and find x
$not stretchy rightwards double arrow x equals negative y plus 3 not stretchy rightwards double arrow x equals negative left parenthesis 2 right parenthesis plus 3$
$therefore x equals 1$
x = 1 and y = 2 is the solution of the given pair of equations

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