Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

{:[5y=8],[y=0],[-4x+5y=33],[8x+y=33]:}

{:\begin{align*}[55y&=88],[y&=00],[−4-4x+55y&=3333],[88x+y&=3333]:\end{align*}}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Write an equation word problemright chevron icon

Full solution

Q. {:\begin{align*}[55y&=88],[y&=00],[−4-4x+55y&=3333],[88x+y&=3333]:\end{align*}}
  1. Solve for y: Solve the first equation for y:\newline5y=8 5y = 8 \newliney=85 y = \frac{8}{5}
  2. Substitute into third equation: Substitute y=85 y = \frac{8}{5} into the third equation:\newline−4x+5(85)=33 -4x + 5\left(\frac{8}{5}\right) = 33 \newline−4x+8=33 -4x + 8 = 33 \newline−4x=33−8 -4x = 33 - 8 \newline−4x=25 -4x = 25 \newlinex=25−4 x = \frac{25}{-4} \newlinex=−6.25 x = -6.25
  3. Check solution: Check the solution by substituting x and y into the fourth equation:\newline8(−6.25)+85=33 8(-6.25) + \frac{8}{5} = 33 \newline−50+1.6=33 -50 + 1.6 = 33 \newline−48.4≠33 -48.4 \neq 33

More problems from Write an equation word problem

Question
What is the amplitude of\newlineg(x)=8cos⁡(5πx+3π2)−9? g(x)=8 \cos \left(5 \pi x+\frac{3 \pi}{2}\right)-9 ? \newlineunits
Get tutor helpright-arrow

Posted 3 months ago

Question
What happens to the value of the expression 80−2r 80-2 r as r r decreases?\newlineChoose 11 answer:\newline(A) It increases.\newline(B) It decreases.\newline(C) It stays the same.
Get tutor helpright-arrow

Posted 3 months ago

Question
Solve for q q .\newline3(q+43)=2 3\left(q+\frac{4}{3}\right)=2
Get tutor helpright-arrow

Posted 3 months ago

Question
Solve for f f .\newline0.3=0.5f−0.7 0.3=0.5 f-0.7
Get tutor helpright-arrow

Posted 3 months ago

Question
Solve for a a .\newline0.25a+0.5=4.5 0.25 a+0.5=4.5
Get tutor helpright-arrow

Posted 3 months ago

Question
Solve for d d .\newline32=5d−12 \frac{3}{2}=5 d-\frac{1}{2}
Get tutor helpright-arrow

Posted 3 months ago

Question
Consider the expression 13bwh \frac{1}{3} b w h .\newlineComplete 22 descriptions of the parts of the expression.\newline11. The entire expression is the product of □\square.\newline22. In this context, 13 \frac{1}{3} is a □\square.
Get tutor helpright-arrow

Posted 3 months ago

Question
What is the sign of −8813+8813? -\frac{88}{13}+\frac{88}{13} ? \newlineChoose 11 answer:\newline(A) Positive\newline(B) Negative\newline(C) Neither positive nor negative-the sum is zero.
Get tutor helpright-arrow

Posted 3 months ago

Question
What is the sign of 3.456+(−3.456)? 3.456+(-3.456) ? \newlineChoose 11 answer:\newline(A) Positive\newline(B) Negative\newline(C) Neither positive nor negative-the sum is zero.
Get tutor helpright-arrow

Posted 3 months ago

Question
What is the sign of 123123+(−123123) 123 \frac{1}{23}+\left(-123 \frac{1}{23}\right) ?\newlineChoose 11 answer:\newline(A) Positive\newline(B) Negative\newline(C) Neither positive nor negative-the sum is zero.
Get tutor helpright-arrow

Posted 3 months ago

View all (24)