Answer:
Solution: x = 2, y = -1 or (2, -1)
Step-by-step explanation:
Equation 1: 2x + y = 3
Equation 2: 5x - 2y = 12
Using the substitution method:
Transform the Equation 1 into its slope-intercept form:
2x + y = 3
2x - 2x + y = -2x + 3
y = 2x + 3
Substitute the value of y = -2x + 3 into Equation 2:
5x - 2y = 12
5x - 2(-2x + 3) = 12
5x + 4x - 6 = 12
9x - 6 = 12
9x - 6 + 6 = 12 + 6
9x = 18
9x/9 = 18/9
x = 2
Substitute the value of x = 2 into Equation 2 to solve for y:
5x - 2y = 12
5(2) - 2y = 12
10 - 2y = 12
10 - 10 - 2y = 12 - 10
-2y = 2
-2y/-2 = 2/-2
y = -1
Double-check whether the values for x and y will provide a true statement for both equations:
Equation 1: 2x + y = 3
2(2) + (-1) = 3
4 - 1 = 3
3 = 3 (True statement)
Equation 2: 5x - 2y = 12
5(2) - 2(-1) = 12
10 + 2 = 12
12 = 12 (True statement)
Therefore, the correct answers are: x = 2; y = -1 or (2, -1).
Answer:
A: 0
B: pi/3
E: 5pi/3
Step-by-step explanation:
The footage of the room with a rental price of $1500 is 709 square foot
<h3>
Linear equation</h3>
A linear equation is given by:
where m is the rate of change, b is the initial value of y, y, x are variables.
Let y represent the monthly rental price and x represent the square footage. Given the equation:
y = 0.7752x + 950.25
For a rent of $1500:
1500 = 0.7752x + 950.25
The footage of the room with a rental price of $1500 is 709 square foot
Find out more on linear equation at: brainly.com/question/13763238
Answer and workings in the attachment below.
Answer:
7
Step-by-step explanation:
16x + 22 = 134 ..... because if the two lines are parallel alternative exterior angles are congruent
16x = 134 - 22
16x = 112
x = 7
hope it helps
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