Sunny received 90 on his math test. If he got x number of 3 point problems and y number of 5 point problems correct, write an equation for y in terms of x. Also write an equation for x in terms of y

3x + 5y = 90

y = (90-3x)/5
x = (90-5y)/3

To find the equation for y in terms of x, we need to understand the scoring system.

Let's assume that Sunny received a perfect score on the 3-point problems and the 5-point problems. If he got x number of 3-point problems correct, he would earn 3x points. Similarly, if he got y number of 5-point problems correct, he would earn 5y points.

Since Sunny received a total of 90 points on his math test, we can form the equation:

3x + 5y = 90

Now, let's find the equation for x in terms of y. The same logic applies here. If Sunny got y number of 5-point problems correct, he would earn 5y points. And as previously mentioned, Sunny received a total of 90 points on his test. So we can form the equation:

5y = 90 - 3x

Now, we can rearrange this equation to solve for x:

3x = 90 - 5y

Dividing both sides by 3:

x = (90 - 5y) / 3