SOLUTION: Solve by graphing: show step by step 2x-y=6 5y-2x=10

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Question 836559: Solve by graphing: show step by step
2x-y=6
5y-2x=10

Answer by doodles(24)   (Show Source): You can put this solution on YOUR website!
so first we solve for y like one does any linear equation so...
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Then we plug random x values to get the corresponding y values. For example, if x = 0 then y would equal to -6. So we could graph the point (2,-6) on the line.
Ultimately the line looks this:
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation describes a sloping line. For any
equation ax+by+c = 0, slope is .
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. -6/2 = -3.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is -6/1 = -6.
  • Slope is -2/1 = -2.
  • Equation in slope-intercept form: y=-2*x+-6.


As for the second equation same thing solve for y.
--> --> -->
One again choose some random x values and plug them in the equation for the y value.
Ultimately, the line looks like this:

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation describes a sloping line. For any
equation ax+by+c = 0, slope is .
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 5/0.4 = 12.5.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 5/1 = 5.
  • Slope is -0.4/1 = -0.4.
  • Equation in slope-intercept form: y=-0.4*x+5.

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