SOLUTION: decide whether the pair of lines is parallell, perpendiculr or neither:? 3x + 2y = 3 2x + 3y =8 solve the following syestem of equations x + 4y = 7 x = 2 -4y

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Question 192620: decide whether the pair of lines is parallell, perpendiculr or neither:?
3x + 2y = 3
2x + 3y =8
solve the following syestem of equations
x + 4y = 7
x = 2 -4y
Answer by yuendatlo(23)   (Show Source): You can put this solution on YOUR website!
first, isolate y so that you have a equation like this:
y=f(x)
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. 3/3 = 1.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 3/2 = 1.5.
  • Slope is -3/2 = -1.5.
  • Equation in slope-intercept form: y=-1.5*x+1.5.

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. 8/2 = 4.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 8/3 = 2.66666666666667.
  • Slope is -2/3 = -0.666666666666667.
  • Equation in slope-intercept form: y=-0.666666666666667*x+2.66666666666667.

slope of 3x+2y=3 is -1.5,
and slope of the other is -2/3
therefore, they are neither perpendicular, nor parallel.

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
We'll use substitution. After moving 4*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that y=1.5. Since , x=1.

Answer: .
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