I need help solving the equation: 6x= 7 - 4y

Question

Can you please help me solve this?

Answer 1

You have two unknown variables (x and y)

The question probably asked to solve for both or x or y. In any case you need TWO equations, since there are two unknowns. The question is therefore incomplete without a second equation

What is the complete question?

Answer 2

My assumption without more information is that you need to put the equaton into a different form

6x= 7 - 4y  --> this is the equation of a line

There are multiple forms such an equation can take

the most recognizable is the 'slope intercept' form which is y = ax + b with b being the intercept

meaning that the line goes through point (0,b)

So if you take your equation 6x= 7 - 4y and get y 'positive, by itself, on one side of the equation'

6x = 7 - 4y  ===> add 7 to BOTH sides  of the equation

+7     +7

6x + 7 = -4y  ===> divice BOTH sides by -4

-(6/4)x - 7/4 = y

change irregular fractions to mized numbers

-1.5x - 1.75 = y ... SLOPE INTERCEPT FORM this tells you that the line goes through (0, -1.75)

AND the slope of the line is -1.5 or -6/4 ...

 

Standard form of 6x= 7 - 4y

6x = 7 - 4y ==> ADD 4y to BOTH sides of the equation

+4y     +4y

6x + 4y = 7 (this fits the Standard Form Ax + By = C)

 

The equation of a line can be shown in

Standard Form ==> Ax + By = C

Slope Intercept Form ==> y = mx + b

Poit-Slope Form ==> (y - y1) = m(x - x1)

Answer 3

Hi Adryana,

 

There is a basic rule in solving equations with varibles

 

We need as many equations as there are unknowns in an equation. Here, X and Y are unknowns( variables) and so We need 2 equations to solve for X and Y

 

IS the question you have given here complete? or is there any additional data given in this problem?