The list of choices that accompanies the question is really short.
2x + 3y + 6z = 54
At the y-intercept, 'x' and 'z' are zero.
3y = 54
y = 18
There are 6 such triples.
15
7
There are an infinite number of solutions to this equation, some of which are (9,0), (12,2), (15,4), (18,6), (21,8)
The equation 2x-5y=-1 has a graph that is a line. Every point on that line is an ordered pair that is a solution to the equation. So pick any real number x and plug it in. You will find a y and that pair (x,y) is an ordered pair that is a solution to this equation. For example, let x=0 Then we have -5y=-1so y=1/5 The ordered pair (0, 1/5) is a point on the line and a solution to the equation.
Since there are no given triplets, none of them!
There are 6 such triples.
Using the equation below, select the ordered triple that correctly indicates where the plane cuts the x-axis.3x+4y+8z=12
7x + 2y + 3z = 42At the z-axis, 'x' and 'y' are both zero.0 + 0 + 3z = 42z = 14The coordinates of the z-intercept (the 'ordered triple') are (0, 0, 14)
I am sorry but the question is incomplete. You have not mentioned the ordered pairs and the equation is incomplete as well.
13
x = 5 and y = 4
x = 2 and y = -4
3x
There are an infinite number of ordered pairs that satisfy the equation.
(0, 6)
15