Answer:
3
Step-by-step explanation:
Given the 2 equations
2x + 3y = 9 → (1)
- 2x + 2y = 6 → (2)
Adding the 2 equations term by term will eliminate x
(2x - 2x) + (3y + 2y) = (9 + 6), that is
5y = 15 ( divide both sides by 5 )
y = 3
The number 49 is a rational number because it can be expressed as the quotient of two integers; 49 divided by 1
Answer:
48.6
Step-by-step explanation:
Put the values in place of the variables and simplify according to the Order of Operations in the usual way.
10.2x +9.4y
= 10.2(2) +9.4(3) . . . . . 2 is substituted for x; 3 is substituted for y
= 20.4 +28.2
= 48.6
Answer:
2 hours, 142 miles
Step-by-step explanation:
Given;
equation of motion of car A as;
y = 55x + 32
equation of motion of car B as;
y = 42x + 58
where;
y is distance measured in miles
x is time measured in hours
When the distance of the two cars are equal, we will have the following equation;
55x + 32 = 42x + 58
collect like terms and solve for x
55x - 42x = 58 - 32
13x = 26
x = 26 /13
x = 2 hours ( x is time measured in hours)
Now substitute in the value of x into any equation of the cars;
y = 55x + 32
y = 55 (2) + 32
y = 110 + 32
y = 142 miles ( y is distance measured in miles)
Thus, the correct option is 2 hours, 142 miles
