A day full of math games & activities. Find one near you.

A day full of math games & activities. Find one near you.

A day full of math games & activities. Find one near you.

A day full of math games & activities. Find one near you.

# What is the solution of the system of equations? y = 4x + 4 and y = -3x - 3

**Solution:**

Given: System of linear equations is y = 4x + 4 and y = -3x - 3

Let y = 4x + 4 --- (a)

and y = -3x - 3 --- (b)

Let us use the elimination method to solve them.

Subtract (b) from (a)

y = 4x + 4

y = -3x - 3

--------------

0 = 4x - (-3x) + 4 - (-3)

0 = 4x + 3x + 4 +3

0 = 7x + 7

7x = -7

⇒ x = -1

Put x = -1 in eq(a), we get y = 4(-1) + 4

y = -4 +4

⇒ y = 0

The solution set for given equations is (-1, 0)

## What is the solution of the system of equations? y = 4x + 4 and y = -3x - 3

**Summary:**

The solution of the system of equations y = 4x + 4 and y = -3x - 3 is (-1, 0).

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