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Algebraic equations (Part 1)SOLVING EQUATIONSThe equation y=โˆ’14xโˆ’5๐‘ฆ=โˆ’14๐‘ฅโˆ’5 is represented with the table below. However, there is a number missing from the y๐‘ฆ values.x๐‘ฅโˆ’6โˆ’6โˆ’4โˆ’4โˆ’2โˆ’25588y๐‘ฆโˆ’72โˆ’72โˆ’4โˆ’4a๐‘Žโˆ’254โˆ’254โˆ’7โˆ’7Calculate the value of a๐‘Ž.Answer:a=๐‘Ž= 2 attempts remaining

Question

Algebraic equations (Part 1)SOLVING EQUATIONSThe equation y=โˆ’14xโˆ’5๐‘ฆ=โˆ’14๐‘ฅโˆ’5 is represented with the table below. However, there is a number missing from the y๐‘ฆ values.x๐‘ฅโˆ’6โˆ’6โˆ’4โˆ’4โˆ’2โˆ’25588y๐‘ฆโˆ’72โˆ’72โˆ’4โˆ’4a๐‘Žโˆ’254โˆ’254โˆ’7โˆ’7Calculate the value of a๐‘Ž.Answer:a=๐‘Ž= 2 attempts remaining

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Solution

The equation given is y = -14x - 5.

To find the missing y value (a), we need to substitute the corresponding x value into the equation.

Looking at the table, we can see that the missing y value corresponds to x = -2.

Substituting x = -2 into the equation gives:

y = -14(-2) - 5 y = 28 - 5 y = 23

So, the missing y value (a) is 23.

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