Solve the following equation for x: 5x + 3y = 15.

A.x = negative three fifthsy − 3
B.x = negative three fifthsy + 3
C.x = three fifthsy + 3
D.x = three fifthsy − 3

Respuesta :

Answer:

B

Step-by-step explanation:

5x + 3y = 15

5x = -3y +15

x = -3/5y +3

Answer:

The correct option is B) x = negative three fifths y + 3

Step-by-step explanation:

Consider the provided equation.

5x + 3y = 15

We need to solve the above equation for x.

Subtract both the side by 3y.

[tex]5x + 3y-3y = 15-3y[/tex]

[tex]5x= 15-3y[/tex]

To find the value of y, isolate the variable y:

Divide both the sides by 5.

[tex]\frac{5x}{5}= \frac{15}{5}-\frac{3y}{5}[/tex]

[tex]x= 3-\frac{3y}{5}[/tex]

[tex]x= -\frac{3y}{5}+3[/tex]

Hence, the correct option is B) x = negative three fifths y + 3