If: y = 8/x and y = 7+x
Then: 8/x = 7+x
Multiply all terms by x: 8 = 7x+x^2 or x^2 +7x -8 = 0
Factorizing the above: (x-1)(x+8) = 0 => x =1 or x = -8
Through substitution contacts are made at: (-8, -1) and (1, 8)
You solve equations with fractions the same way you solve other equations. You perform various arithmetic operations on both sides of the equals sign until you get the result you want.
y = x - 1 Or an infinite number of other equations. You'll need to be more specific.
Many equations can be plotted as a line or other curve in the x-y plane. If you have two equations and you plot the curve (or line) for each one. If the curves (or lines) intersect at one or more points, then the (x,y) coordinates for the intersection points will also be the x and y values which satisfy both equations to be true at the same time.
It is perpendicular to a family of other linear equations: of the form 4y = x + c
Both equations are equal to each other and when solved x = -3/5 and y = 1
They are the contact points between plates that are moving toward each other.
-10
-6
The two rational solutions are (0,0,0) and (1,1,1). There are no other real solutions.
Equivalent to what? "3x = 3 + x" is an equation which can be equivalent to other equations, but none is mentioned.
(a) rearrange one of the equations so that x or y is alone on one side of the equals sign.
They are all lines. Their equations are written in the slope-intercept form, where we clearly can see if they just intersect, or are perpendicular to each other, or parallel, or coincide.