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How many points of intersection do the equations 5x-3y equals -4 and x plus 2y equals 7 have?
Wiki User
∙ 14y ago
These equations are both linear, so they will have either one point of intersection, zero points of intersection, or an infinite number of them. To answer this then, you can start by finding the slope of each line, and see if they are equal. If not, then the lines intersect at one point.
Starting with the first one:
5x - 3y = -4
∴ -3y = -5x - 4
∴ y = (5/3)x + 4/3
So this line has a slope of 5/3
And now for the second one:
x + 2y = 7
∴ 2y = 7 - x
∴ y = 7/2 - (1/2)x
So this line has a slope of 1/2.
The answer then is one. The two lines have two different slopes, and must therefore intersect at exactly one point.
Wiki User
∙ 14y ago
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What is the greatest common factor of 5x3y plus 5Xy2 plus 35xy?
The GCF is 5xy.
What is the LCM of the monomial of 5x3y 15xy?
It is not possible to give a sensible answer to this question. The least common multiple (LCM) refers to a multiple that is COMMON to two or more numbers (or expressions). You have only one expression in the question: 15xy. Also, if 5x3y is different from 15xy then multiplication is not commutative in whatever set these belong to. In that case it is impossible to find the LCM without information about the rules of "multiplication" in this set.
What are the terms in the expression 5x3y-634?
The terms in the expression 5 x 3y - 634 are 5, 3y, -634
