Put an open circle pointing to the left on -1
Answer:
x = 7000
y = 5600
(7000, 5600)
Step-by-step explanation:
To solve the system of equations means to find the point of intersection (graphically). You are finding what value of 'x' and what value of 'y' fits both equations.
x = y + 1400
0.08x + 0.05y = 840
We can solve using the method <u>substitution</u>, where you replace a variable in one equation with an equivalent expression.
<u>Since "x" is y + 1400, we can replace "x" in the second equation.</u>
0.08x + 0.05y = 840
0.08(y + 1400) + 0.05y = 840
Distribute over brackets by multiplying 0.08 with y, then 0.08 with 1400.
0.08y + 112 + 0.05y = 840 Collect like terms (with "y" variable)
112 + 0.13y = 840
Now isolate "y" in the simplified equation.
112 - 112 + 0.13y = 840 - 112 Subtract 112 from both sides
0.13y = 728
0.13y/0.13 = 728/0.13 Divide both sides by 0.13
y = 5600 Solved for y
We can substitute "y" with 5600 in any other equation that has "x".
x = y + 1400
x = 5600 + 1400 Add
x = 7000 Solved for x
You may express the answer as a coordinate, or an ordered pair (x, y).
The solution is (7000, 5600).
Answer:
x = 50
Step-by-step explanation:
x/5 = 125/10
x * 10 = 125*4(cross multiply)
10x = 500 ( divide both sides by 10)
x= 50
1.667
Basically divide the number by 2
Y = -4x - 5.....(0,?)...so we know x = 0, so sub in 0 for x and solve for y
y = -4(0) - 5
y = -5....so one point is (0,-5)
do the same for the other points and u get (1,-9) , (-1,-1)
y = -4x - 5.....slope is -4 and ur y int (where ur line crosses the y axes) is (0,-5).
to find the x int (where the line crosses the x axes), sub in 0 for y and solve for x.
0 = -4x - 5
4x = -5
x = -5/4.....or - 1 1/4(for graphing purposes)...x int is (-5/4,0)
so plot all ur points and connect the dots
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4x + 9y = 0...(-9,?)..so x = -9..so sub in -9 for x and solve for y
4(-9) + 9y = 0
-36 + 9y = 0
9y = 36
y = 36/9
y = 4...so ur point is (-9,4)
do the same for the others and ur points are : (0,0) , (9,-4)
4x + 9y = 0
9y = -4x....so ur slope is -4 and ur y int is (0,0)
ur x int is : (0,0)....so basically u have a line going through the origin (0,0)
plot all ur points and connect the dots
