Look at the system of equations below. x +y +z = 2
2x + 3y - z = -3
3x + y + z = 4
What is the product of x and y?

Step-by-step explanation:

Given the system of equation;

x +y +z = 2 1

2x + 3y - z = -3 2

3x + y + z = 43

Add 1 and 2;

x+2x + y + 3y = 2-3

3x + 4y = -1 4

Add 2 and 3

2x+3x + 3y + y = -3+4

4x + 4y = 1 5

Equate 4 and 5 and solve;

3x + 4y = -1 4

4x + 4y = 1 5

Subtract

3x - 4x = -1-1

-x = -2

x = 2

substitute x - 2 into 4;

From 4; 3x+4y = -1

3(2) +4y = -1

6 + 4y = -1

4y = -1-6

4y = -7

y = 7/-4

y = -7/4

Product of x and y = 2 * -7/4 = -7/2

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !