Assuming 6 refers to the value of x, the y coordinate is 1
7y+3x-21 =0 7y = -3x+21 y = -3/7x+3 The y intercept is 3
It's a peculiar, and relatively trivial, linear equation in 'x'.7y - 7y = 5x + 12 - 4xThe left side of the equation is obviously zero.Combine like terms on the right side:0 = x + 12Subtract 12 from each side:-12 = x
x - 7y = 18 ... (A) 2x - 7y = 22 ... (B) Equation (B) - equation (A) gives x = 4 Substituting this value of x in equation (A) gives 4 - 7y = 18 or 7y = -14 which gives y = -2 Solution: (x, y) = (4, -2)
It's a simple linear equation in 'y'.To find the solution:7y - 8 = 2y + 37Subtract 2y from each side of the equation:5y - 8 = 37Add 8 to each side:5y = 45Divide each side by 5:y = 9
8x - 7y + 2 = 0 The slope-intercept form is NOT the standard form. The above form is easily generalised to 3 (or more) dimensions, not so with the slope-intercept form.
7y+3x-21 =0 7y = -3x+21 y = -3/7x+3 The y intercept is 3
One linear equation in two variables cannot be solved. You can only express one of the variables in terms of the other.
It's a peculiar, and relatively trivial, linear equation in 'x'.7y - 7y = 5x + 12 - 4xThe left side of the equation is obviously zero.Combine like terms on the right side:0 = x + 12Subtract 12 from each side:-12 = x
There are infinitely many solutions. One linear equation in two variables cannot be solved to give a single answer.
x - 7y = 18 ... (A) 2x - 7y = 22 ... (B) Equation (B) - equation (A) gives x = 4 Substituting this value of x in equation (A) gives 4 - 7y = 18 or 7y = -14 which gives y = -2 Solution: (x, y) = (4, -2)
2x-7y=14 2x-14=7y from this equation the slope is 2/7
It's a simple linear equation in 'y'.To find the solution:7y - 8 = 2y + 37Subtract 2y from each side of the equation:5y - 8 = 37Add 8 to each side:5y = 45Divide each side by 5:y = 9
8x - 7y + 2 = 0 The slope-intercept form is NOT the standard form. The above form is easily generalised to 3 (or more) dimensions, not so with the slope-intercept form.
x = 5 and y = 4
7Y = 33-4Y ( add 4Y to both sides of equation ) 11Y = 33 ( divide both sides of equation by 11 ) Y = 3
y is the variable
4x-7y = -4 4(x+y = 0) Mutiply all terms in the bottom equation by 4: 4x-7y = -4 4x+4y = 0 Subtract the bottom equation from the top equation: -11y = -4 Divide both sides by -11 remembering that a minus divided into a minus becomes a plus: y = 4/11 Substitute the value of y into the original equations to find the value of x: Therefore: x = -4/11 and y = 4/11