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First, convert the equation into the form y=mx+b:
15x-5y=30
-5y=-15x+30
Divide both sides by -5.
y=-3x-6
Below is a graph of that equation:
Answer:
x = 1
Step-by-step explanation:
Given
- 4y + 5x = 17 and (x - 3) is a solution
Substitute y = - 3 into the equation and solve for x
- 4(- 3) + 5x = 17
12 + 5x = 17 ( subtract 12 from both sides )
5x = 5 ( divide both sides by 5 )
x = 1
Solution is (1, - 3 )
Reforming the input:
Changes made to your input should not affect the solution:
(1): "0.2" was replaced by "(2/10)".
STEP
1
:
1
Simplify —
5
Equation at the end of step
1
:
2 1 1
((((—•y)+(—•x))-(—•y))-6)+-2
5 5 5
STEP
2
:
1
Simplify —
5
Equation at the end of step
2
:
2 1 y
((((—•y)+(—•x))-—)-6)+-2
5 5 5
STEP
3
:
2
Simplify —
5
Equation at the end of step
3
:
2 x y
((((— • y) + —) - —) - 6) + -2
5 5 5
STEP
4
:
Adding fractions which have a common denominator :
4.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2y + x 2y + x
—————— = ——————
5 5
Equation at the end of step
4
:
(2y + x) y
((———————— - —) - 6) + -2
5 5
STEP
5
:
Adding fractions which have a common denominator :
5.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(2y+x) - (y) y + x
———————————— = —————
5 5
Equation at the end of step
5
:
(y + x)
(——————— - 6) + -2
5
STEP
6
:
Rewriting the whole as an Equivalent Fraction :
6.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
6 6 • 5
6 = — = —————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
6.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(y+x) - (6 • 5) y + x - 30
——————————————— = ——————————
5 5
Equation at the end of step
6
:
(y + x - 30)
———————————— + -2
5
STEP
7
:
Rewriting the whole as an Equivalent Fraction :
7.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 5 as the denominator :
-2 -2 • 5
-2 = —— = ——————
1 5
Adding fractions that have a common denominator :
7.2 Adding up the two equivalent fractions
(y+x-30) + -2 • 5 y + x - 40
————————————————— = ——————————
5 5
Final result :
y + x - 40
——————————
5
To find : What is the value of 4 in the number 17.884 as a fraction ? Therefore, the value of 4 in the number 17.884 as a fraction is four-thousandths .