Maths-

General

Easy

Question

# Solve System of equations using Substitution :

Y = 6X + 7

3X - 8Y = 4

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 = 2 ; y = 1

### Ans :- x = 2 ; y = 1

Explanation :-

y = 6x + 7— eq 1

3x – 8y = 4—- eq 2

Step 1 :- find x by substituting y = 6x + 7 in eq 2.

3x – 8 (6x + 7) = 4 ⇒ 3x - 48x – 56 = 4

⇒ - 45x = 4 + 56

⇒- 45x = 60

4/3

⇒ x = -1.33

Step 2 :- substitute value of x and find y

⇒ y = 5-2x ⇒ y = 5-2()

⇒ y = 5+

Y = 7.66

∴ x = -1.33 and y = 7.66 is the solution of the given pair of equations.

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