4x+3y=1 2x+5y=11 solve for x and y

4x+3y=1 2x+5y=11

We'll need to use system of equations for this one.

4x+3y=1

3y=1-4x

y=-4/3x+1/3

2x+5y=1

5y=1-2x

y=-2x/5+1/5

Set these two equations equal to each other and solve for x.

-2x/5+1/5=-4/3x+1/3

x=1/7

Then plug x in to solve for y.

y=-2(1/7)/5+1/5

y=1/7

the correct answer is option c.   3

step-by-step explanation:

points to remember

equation of the line with coordinates (x₁, y₁) and (x₂, y₂) is given by,

slope m = (y₂ - y₁)/(x₂ - x₁)

from the figure we can see a line with two coordinates given

to find the slope of given line

here   (x₁, y₁)   = (-1, -1 ) and (x₂, y₂) = (1, 5)

slope m = (y₂ - y₁)/(x₂ - x₁)

  = (5 - -1)/(1 - -1)

  = (5 + 1)/(1 + 1)

  = 6/2 = 3

therefore the correct answer is option c.   3

7

step-by-step explanation: