Question

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A system of linear equations is given by the tables.
X
у
х
у
1
-2
-7
0
3
0
-1
1
5
2
5
2
7
4
11
The first equation of this system is y= x+3.
The second equation of this system is y= 3x-.
The solution of the system is (v.).

Answer 1

Answer:

The first equation of this system is y =2 x + 3.

The second equation of this system is y = 3x −1 .

The solution of the system is (4,11).

Step-by-step explanation:

PLATO correct

Answer 2

The first equation of this system is y = 2x + 3 while the second equation of this system is y = 3x - 1.

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

For the first line, using the points (0, 3) and (2, 7):

$y-3=\frac{7-3}{2-0}(x-0)\\ \\y=2x+3$

For the second line, using the points (0, -1) and (2, 5):

$y-(-1)=\frac{11-(-1)}{4-0}(x-0)\\ \\y=3x-1$

The first equation of this system is y = 2x + 3 while the second equation of this system is y = 3x - 1.

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