Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
To solve for [tex]\( y \)[/tex] in the equation
[tex]\[ -\frac{7}{4} y = -35, \][/tex]
we need to isolate [tex]\( y \)[/tex]. We can do this by getting rid of the fraction that is multiplying [tex]\( y \)[/tex]. Here's how to proceed step by step:
1. Identify the coefficient of [tex]\( y \)[/tex]: In the equation, the coefficient of [tex]\( y \)[/tex] is [tex]\( -\frac{7}{4} \)[/tex].
2. Reciprocal of the coefficient: To isolate [tex]\( y \)[/tex], we can multiply both sides of the equation by the reciprocal of [tex]\( -\frac{7}{4} \)[/tex]. The reciprocal of [tex]\( -\frac{7}{4} \)[/tex] is [tex]\( -\frac{4}{7} \)[/tex].
3. Multiply both sides by the reciprocal: Now, multiply both sides of the equation by [tex]\( -\frac{4}{7} \)[/tex]:
[tex]\[ \left( -\frac{4}{7} \right) \left( -\frac{7}{4} y \right) = \left( -\frac{4}{7} \right)(-35). \][/tex]
4. Simplify the left side: When you multiply [tex]\( -\frac{4}{7} \)[/tex] by [tex]\( -\frac{7}{4} \)[/tex], the [tex]\( y \)[/tex] on the left side remains because:
[tex]\[ \left( -\frac{4}{7} \right) \left( -\frac{7}{4} \right) = 1. \][/tex]
Hence,
[tex]\[ 1 \cdot y = y. \][/tex]
5. Simplify the right side: Now, simplify the right side of the equation:
[tex]\[ -35 \cdot \left( -\frac{4}{7} \right) = 20. \][/tex]
Therefore, the equation simplifies to:
[tex]\[ y = 20. \][/tex]
So, the solution is:
[tex]\[ \boxed{20}. \][/tex]
[tex]\[ -\frac{7}{4} y = -35, \][/tex]
we need to isolate [tex]\( y \)[/tex]. We can do this by getting rid of the fraction that is multiplying [tex]\( y \)[/tex]. Here's how to proceed step by step:
1. Identify the coefficient of [tex]\( y \)[/tex]: In the equation, the coefficient of [tex]\( y \)[/tex] is [tex]\( -\frac{7}{4} \)[/tex].
2. Reciprocal of the coefficient: To isolate [tex]\( y \)[/tex], we can multiply both sides of the equation by the reciprocal of [tex]\( -\frac{7}{4} \)[/tex]. The reciprocal of [tex]\( -\frac{7}{4} \)[/tex] is [tex]\( -\frac{4}{7} \)[/tex].
3. Multiply both sides by the reciprocal: Now, multiply both sides of the equation by [tex]\( -\frac{4}{7} \)[/tex]:
[tex]\[ \left( -\frac{4}{7} \right) \left( -\frac{7}{4} y \right) = \left( -\frac{4}{7} \right)(-35). \][/tex]
4. Simplify the left side: When you multiply [tex]\( -\frac{4}{7} \)[/tex] by [tex]\( -\frac{7}{4} \)[/tex], the [tex]\( y \)[/tex] on the left side remains because:
[tex]\[ \left( -\frac{4}{7} \right) \left( -\frac{7}{4} \right) = 1. \][/tex]
Hence,
[tex]\[ 1 \cdot y = y. \][/tex]
5. Simplify the right side: Now, simplify the right side of the equation:
[tex]\[ -35 \cdot \left( -\frac{4}{7} \right) = 20. \][/tex]
Therefore, the equation simplifies to:
[tex]\[ y = 20. \][/tex]
So, the solution is:
[tex]\[ \boxed{20}. \][/tex]
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.