The graph that matches the following system of equation is; the picture of a coordinate plane with line y equals negative 4x minus 1 and line y equals minus 3 over 2 times x plus 4. They intersect at negative 2, 7.
<h3>What is the graph of a function?</h3>
The graph of a function y = f(x) shows the position of the x-intercepts and y-intercepts from the graph from which the slope can be drawn.
The system of linear equations can be rewritten in slope-intercept form as follows:
y = -4x - 1
y = -3/2x + 4
From the graph, the two equations intercept at point (-2,7).
Learn more about plotting the graph of a function here:
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Step-by-step explanation:
a.
simply add both equations
x + y = 2
-3x - y = 5
----------------
-2x + 0 = 7
x = -7/2
x + y = 2
-7/2 + y = 2
y = 2 + 7/2 = 4/2 + 7/2 = 11/2
b.
1/2 x + 2y = -13
x - 4y = 8
first multiply the first equating by 2
x + 4y = -26
x - 4y = 8
--------------------
2x + 0 = -18
x = -18/2 = -9
x - 4y = 8
-9 - 4y = 8
-4y = 17
y = -17/4
We want to find one-half of the reciprocal of 7/sqrt(98). Let's write down an expression for this:

We can rewrite 98 into 


The square root of 49 is 7



This should be your answer. Let me know if you need any clarifications, thanks!