Y = 3x + 3
y = x - 1
As you can see, both equations are set to equal y. This means the right sides of each equation are equal, since y is isolated in both equations. So to solve this particular system of equations for x, set the right sides of both equations equal to each other. After you've done that, you can proceed to solve the equation algebraically for the variable, x.
3x + 3 = x - 1
2x + 3 = -1
2x = -4
x = -2
Negative two is the x-value. To find the y-value, substitute -2 for x into either equation and solve algebraically for y.
y = x - 1
y = -2 - 1
y = -3
The final step is to check all work by plugging both x- and y-values back into both equations.
y = 3x + 3
-3 = 3(-2) + 3
-3 = -6 + 3
-3 = -3 -- This is true
y = x - 1
-3 = -2 - 1
-3 = -3 -- This is true.
Answer:
(-2, -3)
Answer:
Step-by-step explanation:
First, we see that the center of the circle is (-12, 5) by taking the midpoint of the circle. Secondly, the length of diameter is 
.
Answer:
x = -4/5 and x = 1
Step-by-step explanation:
5x^2 - x - 4 = 0
Factor out x from the expression.
x (5x +4) - 5x -4 = 0
Factor out the negative sign from the expression.
x (5x + 4) - (5x+4) = 0
Factor out 5x + 4 from the expression.
(5x +4) x (x-1) = 0
When the product of factors equal 0, that means atleast one factor is 0.
5x+4= 0
x-1 = 0
Solve the equation for x.
5x + 4 = 0
Minus 4 from both sides.
5x = -4
Divide by 5.
x = -4/5
Solve the equation for x.
x - 1 = 0
Add one to both sides.
x = 1
Therefore, x = -4/5 and x = 1.
Answer:
Step-by-step explanation: first you have to add up the point that each scored altogether and Caitlin scored 300 and Justin scored 250
Based on the segment addition postulate, the length of GH is: 4 units.
<h3>What is the Segment Addition Postulate?</h3>
The segment addition postulate states that if a line segment is divided into smaller parts, the sum of the length of the smaller parts equals the length of the line segment.
- FG = 2 units
- FI = 7 units
- HI = 1 unit
- GH = ?
FI = FG + HI + GH [segment addition postulate]
7 = 2 + 1 + GH
7 = 3 + GH
7 - 3 = GH
4 = GH
GH = 4 units.
Learn more about the segment addition postulate on:
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