Hi I really need help. I don't know even how to figure these two questions out so if you could help me, please.

Is (–4, 10) a solution to the equation 10 – 5x = y? Explain your answer.

Describe the pattern in the table using an equation.
x|y
1|15
2|25
3|35
4|45

Please help me!! I need help!

a. Put in x=-4, and y=10 to see if it is equal on each side

10-5(-4)=? 10
10+20 hmmmm, not equal, so that is not a solution

b. each change of one in x gives an increase of 10 in y. It is a linear equation, slope 10

so bobpursley for question two is that the answer

Of course, I'm here to help! Let's work through each question step by step.

1. Is (–4, 10) a solution to the equation 10 – 5x = y?

To determine if (-4, 10) is a solution to the equation, we need to substitute the values of x and y into the equation and see if it is a true statement.

Step 1: Start with the equation: 10 - 5x = y

Step 2: Substitute x = -4 and y = 10 into the equation: 10 - 5(-4) = 10 + 20 = 30

Step 3: Compare the left-hand side (LHS) and right-hand side (RHS) of the equation. If they are equal, then (-4, 10) is a solution. If not, it is not a solution.

In this case, the LHS is 30, but the RHS is 10. Since 30 is not equal to 10, we can conclude that (-4, 10) is not a solution to the equation.

2. Describe the pattern in the table using an equation.

Looking at the given table:

x | y
1 | 15
2 | 25
3 | 35
4 | 45

To describe the pattern using an equation, we need to identify the relationship between x and y.

Step 1: Observe the differences between consecutive values of x and y. In this case, the difference in x is always 1, while the difference in y is always 10.

Step 2: Express the relationship between x and y in terms of these differences. The equation will include the change in y for each unit change in x.

Based on the given table, we can determine that for every increase of 1 in x, there is an increase of 10 in y. Therefore, the equation that represents this pattern is y = 10x + 5.

To verify, we can substitute values from the table into the equation. For example, let's substitute x = 1 into the equation: 10(1) + 5 = 15, which matches the corresponding value of y in the table.

I hope this helps! Let me know if you have any further questions.