Subtract 7x-5y+z from the product of 4 and (1)/(4)y-(1)/(2)x+3z

Find Product Calculation: First, we need to find the product of 4 and the expression (1/4)y - (1/2)x + 3z. Calculation: 4 * ((1/4)y - (1/2)x + 3z) = 4 * (1/4)y - 4 * (1/2)x + 4 * 3z = y - 2x + 12zSubtract Expression Calculation: Now, we have to subtract the expression 7x - 5y + z from the result we just found. Calculation: (y - 2x + 12z) - (7x - 5y + z) = y - 2x + 12z - 7x + 5y - zCombine Like Terms Calculation: Next, we combine like terms to simplify the expression. Calculation: y - 2x + 12z - 7x + 5y - z = (y + 5y) + (-2x - 7x) + (12z - z) = 6y - 9x + 11z

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Subtract
7x-5y+z from the product of 4 and
(1)/(4)y-(1)/(2)x+3z

Subtract $7 x-5 y+z$ from the product of $4$ and $\frac{1}{4} y-\frac{1}{2} x+3 z$

View step-by-step help

Home

Math Problems

Algebra 1

Simplify variable expressions involving like terms and the distributive property

Full solution

Q. Subtract

7 x-5 y+z

from the product of

4

and

\frac{1}{4} y-\frac{1}{2} x+3 z

Find Product Calculation: First, we need to find the product of $4$ and the expression $(\frac{1}{4}y - \frac{1}{2}x + 3z)$ . $\newline$ Calculation: $4 \times (\frac{1}{4}y - \frac{1}{2}x + 3z)$ $\newline$ = $4 \times (\frac{1}{4}y) - 4 \times (\frac{1}{2}x) + 4 \times 3z$ $\newline$ = $y - 2x + 12z$
Subtract Expression Calculation: Now, we have to subtract the expression $7x - 5y + z$ from the result we just found. $\newline$ Calculation: $(y - 2x + 12z) - (7x - 5y + z)$ $\newline$ = $y - 2x + 12z - 7x + 5y - z$
Combine Like Terms Calculation: Next, we combine like terms to simplify the expression. $\newline$ Calculation: $y - 2x + 12z - 7x + 5y - z$ $\newline$ = $(y + 5y) + (-2x - 7x) + (12z - z)$ $\newline$ = $6y - 9x + 11z$