The "answer" is a pair of two numbers ... a number for 'x' and a number for 'y' ...
that make the equation a true statement.
There are an infinite number of answers. You can pick any number out of the blue
for 'x', and then use the equation to find out the 'y' that goes with it. Every pair
you build this way is an 'answer' to the equation.
If you draw the graph of this equation, you get a straight line with no ends. Every
point on the line is an 'answer' to the equation, (and you can imagine how many
points there are on a line with no ends).
134
7 and the y intercept is 8/3
4x + y = 9 so that y = 9 - 4x 7x - 8y = 6 7x - 8*(9-4x) = 6 7x - 72 + 32x = 6 39x = 78 x = 2 Then y = 9 - 4x = 9-4*2 = 9-8 = 1
4xy+1=3y-7x 4xy-3y=-7x-1 y(4x-3)=-7x-1 y=(-7x-1)/(4x-3)
7x + y = 6 y = 6 - 7x dy/dx = 0-7 = -7 Slope = -7
7x + y = 8 Subtract 7x from each side of the equation: y = -7x + 8
134
7x + y = 4y = 4 - 7x
7 and the y intercept is 8/3
7x+y=6
7x + y + z = 6 7x + y + 4z = 9 y + x = 6 Take the first two statements and subtract them. 7x + y + z = 6 7x + y + 4z = 9 _____________ 0 + 0 - 3z = -3 Therefore: z = 1 Then you are left with: 7x + y + 1 = 6 7x + y + 4 = 9 which is impossible, so this is an impossible equation.
The Y intercept of y=7x+10 is 10.
4x + y = 9 so that y = 9 - 4x 7x - 8y = 6 7x - 8*(9-4x) = 6 7x - 72 + 32x = 6 39x = 78 x = 2 Then y = 9 - 4x = 9-4*2 = 9-8 = 1
7x + y + 3 = y7x + 3 = 07x = -3x = -3/7
6
4xy+1=3y-7x 4xy-3y=-7x-1 y(4x-3)=-7x-1 y=(-7x-1)/(4x-3)
7x + y = 6 y = 6 - 7x dy/dx = 0-7 = -7 Slope = -7