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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.
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| 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.
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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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