Write the equation so that y is is a function of x.
1) 5x+4y=10
Would you minus the 5 from the 10 first?
and 4y=5-10?
Because she only wants us to write the equation, not exactly solve for it.
And doesn't want us to overthink.
Could I please have someones help?
Thank you.
-Allyson
yes but don't forget that there is a x next to the five. so now you have 4y=-5x+10 divide both sides by 4 to get just y= so now the answer is y=-5/4x+10/4
To write the equation so that y is a function of x, you need to isolate y on one side of the equation.
Starting with the equation 5x + 4y = 10:
1. Begin by subtracting 5x from both sides of the equation to isolate the term with y:
5x - 5x + 4y = 10 - 5x
Simplifying:
4y = 10 - 5x
2. Finally, divide both sides of the equation by 4 to solve for y:
y = (10 - 5x) / 4
So, the equation with y as a function of x is y = (10 - 5x) / 4.
To write the equation so that y is a function of x, you need to isolate y on one side of the equation.
Here's how you can do it step by step with your given equation, 5x + 4y = 10:
1. Start by subtracting 5x from both sides of the equation to move the term containing x to the other side:
5x + 4y - 5x = 10 - 5x
Simplifying this equation, you get:
4y = 10 - 5x
2. Next, you can rearrange the terms to isolate y. Divide both sides of the equation by 4:
(4y)/4 = (10 - 5x)/4
Simplifying further, you get:
y = (10 - 5x)/4
Now, the equation y = (10 - 5x)/4 represents y as a function of x.