Answer:
The solution is obtained by adding the two equations.
The solution is: (x, y) = (
, 
)
Step-by-step explanation:
We are given two equations with two variables. The strategy is to eliminate one variable and solve for both the variables.
The two equations are:
Adding both the equations, we get:
Substituting the value of 'x', we get the value of y.
We substitute in (2). [Can be substituted in any equation].
We get: y = 2x - 1
So, we get the corresponding values of x and y which is the solution of the two equations.
Answer:
B
Step-by-step explanation: just add up all of the miles they have all ready hiked and then subtract it from the number they need to hike
Answer:
29° + (x - 5)° = 180°
29 + x - 5 = 180
29 - 5 + x = 180
24 + x = 180
24 - 24 + x = 180 - 24
x = 156
Step-by-step explanation:
A straight line is 180°.
Set all angles (29° and (x - 5)°) equal to 180°.
Then solve for x.
Answer:
105 sweets
Step-by-step explanation:
There are 4 + 1 + 2 = 7 parts in total
Stephen gets 4 parts (or 4x)
Jim gets gets 2 parts (or 2x)
Given,
Stephen gets 30 more than Jim, we can write:
Stephen = Jim + 30
or
4x = 2x + 30
We can solve for "x":
There are 7 parts of sweets altogether (or 7x), we know x so:
There are:
7 * 15 = <u>105 sweets</u> altogether
Answer:
x ≤ 2
Step-by-step explanation:
Most of the properties of equality also apply to inequalities. The exception is multiplication (or division) by a negative number. An equation can be multiplied or divided by any number you like (except division by 0) and it will remain true. <em>An inequality must have the relation symbol reversed when multiplying or dividing by a negative number</em>.
Here, we don't run into that issue, because we can solve this by dividing both sides by the coefficient of x, which is +3.
(3x)/3 ≤ 6/3
x ≤ 2 . . . . . . . simplify
