Mathematics, 28.03.2020 21:05 senituliii

What are the coordinates (x, y) at which the graphs of 2x + 3y = 12 and 2x - y = 4 intersect?
a. (3, 2)
c. (1, -2)
(2,3)
d. (-3, 6)
Letter answers only pls.

Answers: 1

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Answer from: waterbug7571

The coordinates (x,y) are (3,2), If the graphs of 2x+3y=12 and 2x-y=4 are intersect.

Step-by-step explanation:

The given is,

2x+3y=12 .................................(1)

2x-y=4 ....................................(2)

Step:1

The values of x and y are obtained by elimination method,

Substrate the equation (1) and (2),

2x+3y=12

2x-y=4

( - )

Equation becomes,

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

(0)+(4y)=(8)

4y=8

$y=\frac{8}{4}$

y=2

From the equation (1),

2x+3y=12

2x+3(2)=12

2x+6=12

2x=12-6

$x=\frac{6}{2}$

x=3

Step:2

Check for solution,

2x-y=4 ....................................(2)

Substitute the values of x = 3 and y = 2 in above equation,

2(3)-2=4

6-2=4

4=4

Both sides are equal, so the x = 3 and y = 2 is correct answer

Result:

The coordinates (x,y) are (3,2), If the graphs of 2x+3y=12 and 2x-y=4 are intersect.

Answer from: Quest

location: point 0

step-by-step explanation:

well, -8 to 10 on a number line is 18 spaces.

1/9 of 18 is 2.

so, 4/9 of 18 must be 8.

8 spaces from -8 (a) is 0.

so, 4/9 of the way from -8 to 10 is 0!

Answer from: Quest

don't know what that says sorry i can't you

step-by-step explanation:

idk what it says

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