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natita [175]
3 years ago
9

2x+y=5 y=x−1 system of equations please show your work

Mathematics
1 answer:
Bad White [126]3 years ago
4 0

sub y = x - 1 into equation 1

2x + x - 1 = 5

3x = 6

x = 2

sub x = 2 into equation 2

y = 2 - 1

y = 1

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Ian and his friends are renting a cabin that charges an initial fee plus a rate per night. The relationship between the cost and
Brut [27]

Answer:

Cost per night: 75

Equation: y = 75x + 50

Step-by-step explanation:

An equation to represent the situation can be written in the slope-intercept form, y = mx + b, where,

m = slope of the graph, which is the rate per night.

b = y-intercept, which is the initial fee. It is the point where the line intercepts the y-axis.

Let's find m, using two points on the line, (2, 200) and (4, 350)

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{350 - 200}{4 - 2} = \frac{150}{2} = 75

✅The cost per night = 75

y-intercept, b, = 50. The line intercepts the y-axis at y = 50, when x = 0.

Substitute m = 75, and b = 50 into y = mx + b.

✅The equation would be:

y = 75x + 50

6 0
3 years ago
Help me with number 2 please
Kay [80]

Answer:

One solution

(2,0) is the point

Step-by-step explanation:

If the graphs of the equations intersect, then there is one solution that is true for both equations.

When the lines intersect, the point of intersection is the only point that the two graphs have in common, so the coordinates of that point are the solution for the two variables used in the equations.

The point of intersection is (2,0), because that is the point that both lines intersect at.

4 0
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Please help me out, thank you ​
GuDViN [60]

Answer: 24

Step-by-step explanation: 180-114=66

66+90=156

180-156=24

8 0
3 years ago
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3 years ago
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