Answer: x=4
Step-by-step explanation:
1.5(x+4)-3=(x-2)
1.5x+6)-3=4.5x-9
1.5x+3=4.5x-9
+9 +9
1.5x+12=4.5x
divide 1.5x and 4.5
12=3x
/3 /3
x=4
The answer would be A. When using Cramer's Rule to solve a system of equations, if the determinant of the coefficient matrix equals zero and neither numerator determinant is zero, then the system has infinite solutions. It would be hard finding this answer when we use the Cramer's Rule so instead we use the Gauss Elimination. Considering the equations:
x + y = 3 and <span>2x + 2y = 6
Determinant of the equations are </span>
<span>| 1 1 | </span>
<span>| 2 2 | = 0
</span>
the numerator determinants would be
<span>| 3 1 | . .| 1 3 | </span>
<span>| 6 2 | = | 2 6 | = 0.
Executing Gauss Elimination, any two numbers, whose sum is 3, would satisfy the given system. F</span>or instance (3, 0), <span>(2, 1) and (4, -1). Therefore, it would have infinitely many solutions. </span>
Answer:
The x-intercept is at the point (5,0).
Step-by-step explanation:
-2x + 5y = -10
At the x intercept y = 0 so we substitute y = 0 into the given equation:
-2x + 5(0) = -10
-2x = -10
x = 5.
When you first look at thius graph, you should notice two things immedietly.
1. This graph will have a positive slope, because the line is going up.
2. the y-intercept is -2 because that's where it is on the y-axis.
Now, you have been given two points, (2, 1) and (0, -2). You can put these two points into the slope formula, which is: m =
=
= 3/2.
So, now you have your slope and your y-intercept. Now, just put them into y = mx + b form!
y = 3/2x - 2 (it is ubtracting two instead of adding two because it is a negative two.)
Hope this helps!!
~Kiwi