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brilliants [131]
3 years ago
11

What are the coordinates (x, y) at which the graphs of 2x + 3y = 12 and 2x - y = 4 intersect?

Mathematics
2 answers:
adell [148]3 years ago
5 0
A. (3,2)

3(2x-y=4)
2x+3y=12

Than cross put the y’s

8x= 24

X= 3

Than substitute the x into one of the original equations

3•2 + 3y = 12
6+ 3y = 12
-6 -6

3y = 6
/3. /3

y= 2
krok68 [10]3 years ago
3 0

Step-by-step explanation:

2x+3y=12

2x- y =4

-------------------------------------

subtraction. 4y=8

y=2

putting the value of y=2

2x-y=4

2x-2=4

2x=6

x=3

(3,2)

option A

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A student says that the x-intercept of the graph x+2y = 5 is the point (0,5).
Verdich [7]

Answer:

No, the student is incorrect.

Step-by-step explanation:

First we need to find the x-intercept. You can do so by solving for the variable x, and letting y = 0.

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The x-intercept of the graph of x+2y=5 is at (5,\ 0), because the formula for a point on a graph is (x, \ y), where the x-value comes first.

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