Question

X+3Y=6 Y=2X-5 What is the solution or if there’s infinitely solutions or no solution

Answer 1

Answer: slope  

=

−

1

3

y-intercept  

=

2

Explanation:

the equation of a line in  

slope-intercept form

is.

∙

x

y

=

m

x

+

b

where m is the slope and b the y-intercept

rearrange  

x

+

3

y

=

6

into this form

subtract x from both sides

x

−

x

+

3

y

=

6

−

x

⇒

3

y

=

−

x

+

6

divide all terms by 3

⇒

y

=

−

1

3

x

+

2

←

in slope-intercept form

⇒

slope  

=

−

1

3

and y-intercept  

=

2

graph{-1/3x+2 [-10, 10, -5, 5]}

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

X=Y /2+ 5/2

Answer 2

First solve x + 3y = 6 for y

this would be y = (x+6)/3

then plug that y value into the other formula

(x+6)/3 = 2x - 15

then just solve for x

answer: x = 21