Maths-

General

Easy

Question

# Solve System of equations using Substitution :

Y = 2X-1

2X +3 Y = -7

Hint:

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

## The correct answer is: x = -0. 5 ; y = -2

### Ans :- x = -0. 5 ; y = -2

Explanation :-

y = 2x - 1— eq 1

2x + 3y = -7—- eq 2

Step 1 :- find x by substituting y = 2x - 1 in eq 2.

2x + 3(2x - 1) = -7 ⇒ 2x + 6x – 3 = -7

⇒ 8x = 3 -7 ⇒ 8x = -4

⇒ x = -0.5

Step 2 :- substitute value of x and find y

⇒ y = 2x - 1 ⇒ y = 2 (-0.5) -1

⇒ y = -1 - 1

∴ y = -2

∴ x= -0.5 and y = -2 is the solution of the given pair of equations.

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