Answer:
The x-value is between 2 and 3, and the y-value is between –4 and –5.
Step-by-step explanation:
The system of equations y = (1/4)x - 5 and y = -(1/2)x - 3.
The solution of the equation is the point of intersection of the two lines, from the graph, the intersection of the red and blue lines which represent the equation of the lines has an x-value is between 2 and 3, and the y-value is between –4 and –5.
Also the solution of the equation can be solved by solving the two equations simultaneously:
y = (1/4)x - 5 . . . 1)
y = -(1/2)x - 3 . . . 2)
Subtracting equation 2 from 1:
0 = (3/4)x - 2
(3/4)x = 2
x = 2 × 4/3
x = 8/3 = 2.67
x = 2.67
To find y put x = 2.67 in equation 1:
y = (1/4)(8/3) - 5
y = 8/12 - 5
y = -13/3
y = -4.33
Try drawing diagrams to help with this question., simplifying can make the question easier to solve.
here are some of the answers to this question:
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2 1/4 pounds is 36 ounces. So 36-13 is 23. His backpack weighs now 23 ounces or 1.4375 pounds