Answer:
(-
,
)
Step-by-step explanation:
Given the2 equations
6 - 2x = y → (1)
14 + 3x = y → (2)
Substitute y = 14 + 3x into (1)
6 - 2x = 14 + 3x ( subtract 3x from both sides )
6 - 5x = 14 ( subtract 6 from both sides )
- 5x = 8 ( divide both sides by - 5 )
x = - 
Substitute x = -
into either of the 2 equations for the corresponding value of y
Substituting into (1)
y = 6 - 2(-
) =
+
= 
solution is ( -
,
)
Answer:
Step-by-step explanation:
If on the coordinate map, ice cream is located at the point (-8,0) and sprinkles are located at the point (-8,6), we can find the distance between the coordinate points using the formula;
D = √(x2-x1)²+(y2-y1)²
Given
x1 = -8, y1 = 0, x2 = -8 and y2 = 6
Substitute
D = √(x2-x1)²+(y2-y1)²
D = √(-8-(-8))²+(6-0)²
D = √0²+6²
D = √36
D = 6units
Hence the distance between the coordinate points is 6units
Answer:
Step-by-step explanation:
The first step you want to do is get one variable by itself. We are going to start by isolating y by itself.
-3x + 9y = -27
9y = 3x - 27
y = 1/3x - 3
By isolating y by itself, you now have a function written in slope-intercept form. To graph this function, you can draw a point at (0,-3), then use rise/run to go up 1 unit and over 3 units to the next point (3,-2). You can then draw a line based on this information.
Answer:
(3, 2)
Step-by-step explanation:
Given the 2 equations
y = 2x - 4 → (1)
3x + y = 11 → (2)
Substitute y = 2x - 4 into (2)
3x + 2x - 4 = 11
5x - 4 = 11 ( add 4 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
Substitute x = 3 into (1) for corresponding value of y
y = (2 × 3) - 4 = 6 - 4 = 2
Solution is (3, 2)