Answer:
Emily is solving the following system of equations using substitution:
y = 3x - 4
y = 2x + 1
<u>Part</u><u> </u><u>A</u><u>:</u>
After substituting y's values:
3x - 4 = 2x + 1
<em><u>What she did:</u></em>
3x - 4 = 2x + 1
3x + 2x - 4 = 1
5x - 4 = 1
<em><u>What she should have done:</u></em>
3x - 4 = 2x + 1
3x - 2x - 4 = 1
x - 4 = 1
<u>Part</u><u> </u><u>B</u><u>:</u>
This rule has not been followed: Sign changes when numbers shift from left to right of ' = 'sign.
Emily did not changed the sign of the number, 2x from + 2x to - 2x when it was moved from the right side to the left.
9514 1404 393
Answer:
y = -3x -1
Step-by-step explanation:
We can write the equation in slope-intercept form if we know the slope and the y-intercept.
The slope is ...
m = "rise"/"run" = (change in y)/(change in x)
We can see that the line passes through grid intersections at (x, y) = (0, -1) and at (1, -4). Between these two points, the change in y is (-4 -(-1)) = -3, and the change in x is (1 -0) = 1. Then the slope is ...
m = -3/1 = -3
One of the points we just used is the point where the line crosses the y-axis, at the y-intercept of -1. So, with slope -3 and y-intercept -1, the equation of the line is ...
y = mx +b . . . . . . slope m and y-intercept b
y = -3x -1
Answer:
-2 1/2
Step-by-step explanation:
a * (b + c);
Let a = -3/2 , b = -2 , c = 11/3 .
-3/2 ( -2 + 11/3)
Get a common denominator
-3/2( -2 *3/3 + 11/3)
-3/2 ( -6/3 +11/3)
-3/2 ( 5/3)
-15/6
-5/2
Changing to a mixed number
-2 1/2
Answer:
The answer is 236 cu. In.
Step-by-step explanation:
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