X-3y=6
x+y=2
this is an substitution problem
so first you can do is rewrite the problem by subjection one variable
x=3y+6
then substitute this in the other proble
x+y=2
(3y+6)+y=2
4y+6=2
4y=2-6
4y=-4
y=-1
then substitute the no. in the original equation.
x=3y+6
x=3(-1)+6
x=-3+6
x=3
now you got the intercepts and you draw the line and check.
it's in the IV quadrant
Two equations will not have solution if they are parallel and have different y-intercepts. Parallel lines have the same slope. In a slope-intercept form, the equation of the line can be expressed as,
y = mx + b
where m is slope and b is the y-intercept.
Given: 3x - 4y = 2
Slope-intercept: y = 3x/4 - 1/2
A. 2y = 1.5x - 2
Slope-intercept: y = 3x/4 - 1
B. 2y = 1.5x - 1
Slope-intercept: y = 3x/4 - 1/2
C. 3x + 4y = 2
Slope-intercept: y = -3x/4 + 1/2
D. -4y + 3x = -2
Slope-intercept: y = 3x/4 + 1/2
Hence, the answers to this item are A and D.
Step-by-step explanation:
Difference per month = 28
=> January = February - 28 = 66-28 = 38
Answer:
h + s = 15
2h + s = 20
Step-by-step explanation:
Let the number of hats Chevy made = h
Let the number of scarves made by Chevy = s
From the statement of the question, " Chevy made a total number of 15 items"
Equation will be h + s = 15
Amount of yarn used to make one hat = 0.2 kilograms
So amount of yarn used to make "h"hats = 0.2h kilograms
Similarly Amount of yarn used to make one scarf = 0.1 kilograms
So amount of yarn used to make "h" scarves = 0.1s kilograms
Another statement states " Chevy wants to use 2 kilograms of yarn to make these items".
Equation for this statement will be,
0.2h + 0.1s = 2
OR 2h + s = 20 [By multiplying the equation by 10]
Therefore, system of the equations will be
h + s = 15
2h + s = 20
