Question

Please help with this Algebra 1 math problem:

A system of equations is shown below:

3x - y = 2
x + y = 6

The x-coordinate of the solution to this system of equations is _____.

Answer 1

x + y = 6
y = -x + 6
now sub -x + 6 in for y in the other equation
3x - y = 2
3x - (-x + 6) = 2
3x + x - 6 = 2
4x = 2 + 6
4x = 8
x = 2

I am going to find y, just so I can check my answers..
y = -x + 6
y = -2 + 6
y = 4

check..
y = -x + 6 x + y = 6
4 = -2 + 6 4 + 2 = 6
4 = 4(correct) 6 = 6 (correct)

solution : x = 2

Answer 2

any questions ?

Answer 3

Wow thank you for explaining it to me, i get it now haha

Answer 4

Thank you so much!

Answer 5

cool :) glad to help

Answer 6

Do you think you can help me with another one please?

Answer 7

Which of the following statements best describes the graph of -5x + 2y = 1?

It is a curve joining the points (-5, 2), (2, 3), and (4, 1).

It is a curve joining the points (-1, -3), (-1, -3), and (1, 5).

It is a straight line joining the points (1, 3), (3, 8), and (-3, -7).

It is a straight line joining the points (4, -3), (-1, 2), and (-4, 5).

Answer 8

-5x + 2y = 1

Its not A or B...

(1,3) x = 1 and y = 3
-5(1) + 2(3) = 1
-5 + 6 = 1
1= 1 (correct)

(3,8) x = 3 and y = 8
-5(3) + 2(8) = 1
-15 + 16 = 1
1 = 1 (correct)

(-3,-7) x = -3 and y = -7
-5(-3) + 2(-7) = 1
15 - 14 = 1
1 = 1 (correct)

answer is C. It is a straight line containing points (1,3) , (3,8) , and (-3,-7)
as you can see, I plugged in the points into the equation and they all came out correct

Answer 9

Oh that makes sense, lol thank you so much :)

Answer 10

sure thing :)