Answer:
The graph of a linear equation is a straight line. The "solution" to a system of two linear equations is the point where the two lines cross. If the two lines are parallel, they never cross; hence parallel lines have no solution. Two lines are parallel if they have the same slope (the m value in y = mx+b). One of your equations is y = -2x + (you left the y-intercept out). The slope is -2. So any line with a slope of m = -2 will be parallel to this line and will not cross it. The second line also needs a different value of b, the y-intercept. Otherwise it is the same line and every point is a solution. So if your equation is:
y = -2x + 1
Then any equation of the form y = -2x + b, b≠1 will create a system with no solution. Hence the values of m and b are m = -2, b ≠ 1.
Answer:
$2100
Step-by-step explanation:
1/3 of 4500 is 1500
to find 1/3 of a number is to multiply by 1/3
1/3 * 4500 = 1500
$1500 is for savings
subtract 1500 from 4500
4500 - 1500 = 3000
the remaining money is $3000
to find 50% of something, divide by 2
3000/2 = 1500
$1500 is spent on food.
20% of 3000 is 600
to find 20% of something, multiply the decimal value (0.2)
0.2 * 3000 = 600
$600 are spent on rent.
$450 leftover
1500 + 600 = 2100
Food and rent cost $2100
hope this helps:)
C.) 30 since they both have 5's just take them out then subtract 50 and 20 *but make sure u take out the decimal though* so after u subtract u will get 30 then line it up and put the decimal back then it will be .30
Line tu is parallel to rs
Answer:
2x-y=0
x=1/2y
Step-by-step explanation: