Answer:
x = -6/5
y =7/5
Step-by-step explanation:
2x + y = - 1
x - 2y = - 4
Multiply the first equation by 2 so we can eliminate y
2(2x + y = - 1)
4x + 2y = -2
Add this to the second equation
4x + 2y = -2
x - 2y = - 4
---------------------
5x + 0y = -6
Divide by 5
5x/5 = -6/5
x = -6/5
Multiply the second equation by -2 so we can eliminate x
-2(x - 2y = - 4)
-2x+4y = 8
Add this to the first equation
2x + y = - 1
-2x+4y = 8
---------------------
0x + 5y = 7
Divide by 5
5y/5 = 7/5
y =7/5
The student is not correct.
Absolute value means distance from zero
|-9| = 9
|4| = 4
Since 9 is greater than 4,
|-9| is greater than |4|
In other words, -9 is further from zero then 4
They're it's no equation given to try them out in
Complete Question:
If the point (2, 5) is a solution to the system of equations shown below, then determine the missing values of b and m. Show how you arrive at your answer.
1. y = 3x + b
2. y = mx + 9
Answer:
1. Intercept, b = -1
2. Slope, m = -2
Step-by-step explanation:
Given the following data;
Points on the line (x, y) = (2, 5)
To find the missing values;
Mathematically, the equation of a straight line is given by the formula;
y = mx + b
Where;
- m is the slope.
- x and y are the points
- b is the intercept.
1. y = 3x + b
Substituting the value of x and y, we have;
5 = 3(2) + b
5 = 6 + b
b = 5 - 6
<em>Intercept, b = -1</em>
2. y = mx + 9
Substituting the value of x and y, we have;
5 = m(2) + 9
5 = 2m + 9
2m = 5 - 9
2m = -4
m = -4/2
<em>Slope, m = -2</em>
