Solve the given linear equation using multiplication and division properties of equality. y 4 = − 21 6 \frac{y}{4}=-\frac{21}{6}

we're asked to solve the given linear equation using our multiplication and division properties of equality. Here we're given the equation y over four equals negative 21 over six. Now our goal here is to get our variable y all by itself. Currently, y is being divided by four. If I wanna cancel out that division, I can use a multiplication. So I can multiply both sides by four. That's what my multiplication property of equality tells me. Then those fours will cancel out and I'm just left with a y. Then over here on this side, I have negative 21 over six times four. Now when multiplying a fraction, I want to multiply those numerators across and we can think of this four as being four over one and we can multiply our numerators across and our denominators. Negative 21 times four is gonna give me negative 84. Then six times one is just six keeping that denominator with the same. Now, I can do some further simplification here because negative 84 is actually perfectly divisible by six. So this actually gives me that y is equal to negative 14 and this is my final answer here. We can, of course, check our answer by plugging that negative 14 back in for y to our original equation. So this would be negative 14 over four. And we wanna check, does this give us a true statement when that value is plugged in? So we wanna know, is this equal to negative 21 over six? Now we could give these two fractions common denominators and we should see that they end up being the exact same. Or we can type this division right into our calculator to see that we get the same decimal. Here, if I take negative 14 and divide it by four, that gives me negative 3.5. And if I take negative 21 and divide it by six, that will also give me negative 3.5. So because this is a true statement negative 3.5 is equal to negative 3.5, I know that I correctly found my solution that y equals negative 14. I'll see you in the next one.

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Solve the given linear equation using multiplication and division properties of equality.y4=−216\(\frac{y}{4}\)=-\(\frac{21}{6}\)

다음 시청

Solve the given linear equation using multiplication and division properties of equality.
$\frac{y}{4} = - \frac{21}{6}$