Name: Systems of linear equations by elimination: solution walkthrough
Uploaded: 2026-11-13
Duration: 1 min 39 s
Description: If 5x + 2y = 22 and 3x - 2y = 10, what is the value of x + y? Try it, then watch the animated solution.

Each equation is a line. The solution is the one point

(x, y)

that lies on both lines.

One equation has

{+2y}

and the other has

{-2y}

. Add the equations and

y

cancels:

8x = 32

, so

x = 4

.

Put

x = 4

into the first equation:

5(4) + 2y = 22

, so

2y = 2

and

y = 1

.

The question asks for

x + y

, not for

x

or

y

alone:

4 + 1 = 5

.

Traps:

4

is only

x

,

1

is only

y

, and

3

comes from a sign slip that gives

y = {-1}

.

Try it first