X/4 is the same as 1/4x, so you have the equation 1/4x + 7 = 5. subtract 7 to both sides to get the equation 1/4x = -2. then you multiply by four (which is the same as dividing by 1/4) to get x = -8
Answer:
x = 3 and y = 1
Step-by-step explanation:
Given equations
y=3x-8 and y=4-x
We will substitute y from second equation in the first and get:
4-x = 3x-8 first we will add (+x) to both sides and get
4-x+x = 3x+x-8 => 4 = 4x-8 now we will add (+8) to the both sides and get
4+8 = 4x-8+8 => 12 = 4x now we will change the sides of equation and get
4x = 12 => x = 12/4 = 3 => x=3 now we will replace x=3 in the second equation
y= 4-x = 4-3=1 => y=1
Finally we have (x , y) = ( 3 , 1)
God with you!!!
Answer:
Explanation:
[to solve for y, first use the properties of equality to simplify the equation]
5y + 3 = 8y − 5 + 2y
5y + 3 = (8y + 2y) – 5
[regroup the like terms of y together: commutative property of equality ; adding in a different order will still give you the same result]
5y + 3 = 10y – 5
[combine like terms]
5y + 3 = 10y – 5
[subtract 3 from both sides in order to eliminate the constant term on the left side: subtraction property of equality]
5y = 10y – 8
–10y –10y
[subtract 10 from both sides in order to eliminate the variable term: subtraction property of equality]
-5y = -8
÷(-5) ÷(-5)
[divide both sides by -5 to cancel out the coefficient of y: division property of equality]
y = 8/5
Answer:
We can get 27 pieces of wire 3.6 cm long and have a piece 7/9 cm left over
Step-by-step explanation:
Find the "unit length" by dividing 1 m by 3.6 cm:
1 m
-----------
3.6 cm
Recall that 1 m = 100 cm. Multiply the following by the conversion factor 100 cm / 1 m:
1 m 100 cm
----------- * ----------------- = 27,7777777...
3.6 cm 1 m
We can get 27 pieces of wire 3.6 cm long and have a piece 7/9 cm left over (verify this by dividing 7 by 9 on a calculator).
Answer:
x=3, y=8; (3,8)
Step-by-step explanation:
To use the substitution method, first solve for a variable.
2x+y=14
2x+y(-2x)=14(-2x)
y=14-2x
Now substitute y in the other equation with 14-2x
5x-2(14-2x)= - 1
Simplify by multiplying inside the parenthesis.
5x-28+4x= - 1
Combine the x values
9x-28= - 1
9x=27
x=3
Now substitute the x value in to solve for y
2(3)+y=14
6+y=14
y=8
