Answer:
(0.5, 1.3)(0.5, 1.3)
Step-by-step explanation:
Given equations are:
As we can see that the given equations are linear equations which are graphed as straight lines on graph. The solution of two equations is the point of their intersection on the graph.
We can plot the graph of both equations using any online or desktop graphing tool.
We have used "Desmos" online graphing calculator to plot the graph of two lines (Picture Attached)
We can see from the graph that the lines intersect at: (0.517, 1.267)
Rounding off both coordinates of point of intersection to nearest tenth we get
(0.5, 1.3)
Hence,
(0.5, 1.3) is the correct answer
Keywords: Linear equations, variables
If you divide 537 in to 12 groups. each group would have 44 cookies and you would have 9 left.
The given system of equation that is
and
has infinite number of solutions.
Option -C.
<u>Solution:</u>
Need to determine number of solution given system of equation has.

Let us first bring the equation in standard form for comparison


To check how many solutions are there for system of equations
, we need to compare ratios of 
In our case,



As
, so given system of equations have infinite number of solutions.
Hence, we can conclude that system has infinite number of solutions.
Answer:
(5,-5)
Step-by-step explanation:
<u>Eliminate</u><u> </u><u>y-term</u>

We can eliminate x-term but for this system of equations, eliminating y-term is faster.
<u>Substitute</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>5</u><u> </u><u>in</u><u> </u><u>any</u><u> </u><u>given</u><u> </u><u>equations</u><u>.</u>
I will choose to substitute in the first equation.

<u>Answer</u><u> </u><u>Check</u>
Substitute both x-value and y-value in any given equations

The equation is true. (<em>It</em><em> </em><em>is</em><em> </em><em>better</em><em> </em><em>to</em><em> </em><em>check</em><em> </em><em>both</em><em> </em><em>the</em><em> </em><em>answer</em><em> </em><em>for</em><em> </em><em>both</em><em> </em>equation.)
Thus the answer is (5,-5)
<h2>
Answer: y = -1x + 2</h2>
Step-by-step explanation:
Points ( -3,5 )( 6,-4 )
You use the slope formula to find the slope.
<h3>Note: You'll need to learn the slope formula to make more sense of it, I suggest watching a video about it.</h3>
M = Y2 - Y1 over
X2 - X1
Which is -4 - 5
6 - -3 = -9/9 = -1
The slope is -1
Now to find the y-intercept we use one of the x,y points ( I'll use 6,-4 )
And plug them in
-4 = -1(6) + b
-4 = -6 + b
+6 +6
2 = b
The equation will be y = -1x + 2