Question

Solve the simultaneous equations by substitution x − y = 5 4 x + y = 10

Answer 1

• x = 3
• y = -2

Explanation:

Given equations,

→ x - y = 5

→ 4x + y = 10

Now we have to,

→ Find the required value of x and y.

Let's solve for the value of x,

→ (x - y) + (4x + y) = (5) + (10)

→ x + 4x - y + y = 5 + 10

→ 5x + 0 = 15

→ 5x = 15

→ x = 15/5

→ [ x = 3 ]

Then the value of y will be,

→ 4x + y = 10

→ 4(3) + y = 10

→ 12 + y = 10

→ y = 10 - 12

→ [ y = -2 ]

Hence, the value of y is -2.