Answer:
Step-by-step explanation:
Solve by substitution. Solve the second equation for x:
Insert the value of x into the first equation:
Solve for y. Simplify multiplication using the distributive property:
Subtract 190 from both sides:
Isolate the variable to find its value. Divide both sides by -29:
Now take the value of y and insert back into either equation to solve for x:
Subtract 6 from both sides:
Divide both sides by 5:
Therefore, the solution to the system is .
:Done
Answer:
The answer is below
Step-by-step explanation:
The equation of a straight line is given by:
y = mx + b;
where y, x are variables, m is the rate of change and b is the y intercept.
a) d is on the x axis and T is on the y axis, the rate of change is gotten using the points (0, 75) and (300, 37.5). Hence the rate of change (m) is:
b) The rate of change means that the quantity of gas in tank decreases by 0.125 for every km traveled.
c) The graph was plotted using geogebra online graphing tool.
d) Using the points (0, 75) and (300, 37.5), the equation of the line is:
The tank is empty when T = 0, hence:
0 = -0.125d + 75
0.125d = 75
d = 600 km
The tank is empty at 600 km
