Two varibles x and y , in degree one, is a linear equation and is generally written like, ax+by+c=0. The given equation is 4y+3x=-7 can also be written as , 3x+4y-7=0.
Solution:
To solve the equation for y, we subtract 3x from both sides as a 1st step.
4y+3x -3x=7 -3x
4y=7-3x
Divide both sides by 4.
4y/4=(7-3x)/4
y=7/4 - (3/4)x 0r y =0.75-0.75x
Now give any value to x , and you get y value:
X: 0 1 2 3 4 5
y= 0.75 1 0.25 -0.50 -1.25 -2
Plot the values you get a steadily decreasing line for y as x increases.
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