How to Solve Surface Area Linear Equations

Linear equations describe a straight line in the form y = mx + b, where "m" is the slope of your line, "b" is the y-intersect, "x" is you independent variable and "y" is the dependent variable. In two linear equations, the surface area is the point on the graph where the two lines intersect or cross one another. Because they are both straight lines, there can only be one point of intersection.

Things You'll Need

  • Pen
  • Paper
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Instructions

    • 1

      Arrange the equations so they are in the point-intercept form y = mx + b. Move the term with the x-variable and the constant over on the right hand side and divide by the coefficient in front of the y.

    • 2

      Write down the first equation on a piece of paper. Write the second equation directly underneath it. Align the two functions so their y's, x's and constants are directly under one another.

    • 3

      Subtract the second equation from the first one. You can write a big subtraction sign in front of the equation and distribute it through when you do the subtraction. Because you divided by the y-coefficient in Step 1, you will get a y-y = 0 on the left-hand side.

    • 4

      Write down the new equation from Step 4. It will be in the form 0 = mx + b. Solve for "x" by subtracting the "b" and dividing by the slope on both sides.

    • 5

      Plug the x-value from Step 6 into the resultant equation from Step 4 and solve for the surface area "y."

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