Mathematics

Question

Solve this problem 3x+4y=32

satis · Answer

the question has two unknown variables x and y.to solve for two unknown variables, it requires two equations.so the question cannot be solve, but can be modify as  3x+4y=32 or  y = (32 - 3x)/4   and  x = ( 32 - 4y)/3

vikyshop2025 · Answer

to solve the equation:

3 x + 4 y = 32

we need more context. since it's an equation with two variables, there are infinitely many solutions unless: a second equation is given (to solve as a system), or you are asked to express one variable in terms of the other, or you're given a value for either

x

or

y

. ✅ option 1: solve for

y

in terms of

x

3 x + 4 y = 32

subtract

3 x

from both sides:

4 y = 32 - 3 x

divide both sides by 4:

\frac{32 - 3x}{4}

✅ option 2: solve for

x

in terms of

y

3 x + 4 y = 32

subtract

4 y

from both sides:

3 x = 32 - 4 y

divide both sides by 3:

\frac{32 - 4y}{3}

let me know if you'd like: a specific solution (e.g., if

x = 4

, find

y

) a graph of the equation integer or positive solutions or to solve it as part of a system of equations.

Garjmi-med · Answer

the equation you gave:

3 x + 4 y = 32

is a linear equation with two variables:

xx

and

yy

. 🔹 what does that mean? this equation has infinitely many solutions because it represents a line on the coordinate plane. to find specific solutions, we can express one variable in terms of the other, or choose values for one and solve for the other. ✅ option 1: solve for

yy

in terms of

xx

3x+4y=323x + 4y = 32

subtract

3x3x

from both sides:

4y=32-3x4y = 32 - 3x

divide by 4:

y=32−3x4y = \frac{32 - 3x}{4}

✅ option 2: find sample solutions you can plug in values for

xx

to find corresponding values of

x

. for example: if

x=0x = 0

:

y=32−3(0)4=324=8⇒(0,8)y = \frac{32 - 3(0)}{4} = \frac{32}{4} = 8 ightarrow (0, 8)

if

y

:

y=32−3(4)4=32−124=204=5⇒(4,5)y = \frac{32 - 3(4)}{4} = \frac{32 - 12}{4} = \frac{20}{4} = 5 ightarrow (4, 5)

if

x=8x = 8

:

y

✅ final answer: the general solution is:

y=32−3x4y = \frac{32 - 3x}{4}

or you can list specific solutions like:

(0,8), (4,5), (8,2), (12,−1), etc.(0, 8),\ (4, 5),\ (8, 2),\ (12, -1),\ ext{etc.}

let me know if you want to graph it or solve for

x

instead!

vikyshop2025 · Answer

step 1: express

3 x + 4 y = 32

in terms of

yy

3x3x

\frac{32 - 3x}{4} = 8 - \frac{3}{4}x

step 2: find some sample solutions by choosing values for

x

: if

x = 0

:

\frac{3}{4}(0) = 8

so,

(0, 8)

if

4 y

:

\frac{3}{4}(4) = 8 - 3 = 5

so,

(4, 5)

if

x = 8

:

\frac{3}{4}(8) = 8 - 6 = 2

so,

(8, 2)

final answer: the solutions satisfy

\frac{3}{4}x

, and some example solution points are:

\quad (4, 5), \quad (8, 2)

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