Can someone help with this math word problem.
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The system of equations has one solution (-1, 1)
<h3>Graph of system of linear equations </h3>From the question, we are to graph the given system of equations.
The given system of equation is
y + 2x = −1
3y − x = 4
The graph of the given system of equations is shown below.
From the graph, we can observe that the solution to the given system of equation is given by two lines that intersect at the point (-1, 1).
Hence, the system of equations has one solution (-1, 1)
Learn more on Graph of linear equations here: brainly.com/question/14323743
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Answer:
A. y = - 1
Step-by-step explanation:
Given parameters:
Equation of the line:
5x + 2y = 12
Coordinates = -2, 4
Unknown:
The equation of the line parallel to this line = ?
- To solve this problem, first, we need to find the slope of the given line.
Every linear equation have the formula: y = mx + c
m is the slope of the line, c is the y- intercept
5x + 2y = 12
Express this equation as y = mx + c
2y = -5x + 12
y = + 6
The slope of this line is
- Now, any line that is parallel to another will not cut or cross it at any point. This simply implies they have the same slope.
Slope of the line parallel is
- Our new line will also take the form y=mx + c,
Coordinates = -2, 4, x = -2 and y = 4
m is
Now let us solve for C, the y-intercept;
4 = - 2 x + C
4 = 5 + C
C = -1
The equation of the line is therefore;
y = - 1
Answer:
x =
Step-by-step explanation:
Given
kx - c = 9 ( add c to both sides )
kx = 9 + c ( isolate x by dividing both sides by k )
x =