For the following equation, determine the values of the missing entries. Reduce all fractions to lowest terms. 10x−8y=12 Note: Each column in the table represents an ordered pair. If multiple solutions exist, you only need to identify one

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For the following equation, determine the values of the missing entries. Reduce all fractions to lowest terms.  10x−8y=12  Note: Each column in the table represents an ordered pair. If multiple solutions exist, you only need to identify one

Supoilign1964 · Accepted Answer

Step 1   Consider the given linear equation,  10x−8y=12  let you are given a value of x, then substitute this value in the given equation and solve for x, and if you are given a value of y then substitute this value in equation and solve for x.   Step 2   The given linear equation will have multiple solutions. for example,   let us consider x=0, substitute this value in the equation to find the value of y as follows,  10x−8y=12  10(0)−8y=12  −8y=12  y=−128  now, simplify the fraction into lowest term by dividing both numerator and denominator by 4 as follows,  y=−32  Hence, the one of the solution is (0,−32)

user_27qwe · Accepted Answer

Result:(x,y)=(1,−14)Solution:Let&#039;s assume x=1:xy110(1)−128Simplifying the expression inside the table:xy110−128Reducing the fraction:xy1−28Simplifying the fraction further:xy1−14Therefore, for the given equation, when x=1, y=−14. We can see that this solution satisfies the equation 10x−8y=12. So, one of the ordered pairs that satisfies the equation is (1,−14).To find the other missing entry, we can assign a different value to x and repeat the process. Let&#039;s assume x=2:xy210(2)−128Simplifying the expression inside the table:xy220−128Reducing the fraction:xy288Simplifying the fraction further:xy21Therefore, for the given equation, when x=2, y=1. We can see that this solution also satisfies the equation 10x−8y=12. So, another ordered pair that satisfies the equation is (2,1).

alenahelenash · Accepted Answer

Step 1: To find the values of x and y, we&#039;ll isolate one variable in terms of the other. Let&#039;s isolate x.10x−8y=12Adding 8y to both sides:10x=8y+12Step 2: Now, divide both sides of the equation by 10 to solve for x:10x10=8y+1210Simplifying:x=8y+1210Step 3: We have expressed x in terms of y. Now, we can substitute different values for y and find the corresponding values of x.Let&#039;s choose a value for y. For example, let y=0:x=8(0)+1210Simplifying:x=1210Reducing the fraction to lowest terms:x=65Therefore, one solution to the equation 10x−8y=12 is (x,y)=(65,0).

star233 · Accepted Answer

To solve the equation 10x−8y=12 and determine the values of the missing entries, we can create a table with ordered pairs.Let&#039;s choose a value for x and solve for y:x=0⟹10(0)−8y=12⟹−8y=12⟹y=−128=−32Therefore, one solution is (0,−32).

For the following equation, determine the values of the missing entrie

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