Solving the system of equations
we get x=5 and y=10.5
Step-by-step explanation:
We need to solve the system of equations by substitutions.
The system of equations given are:

Let:

Putting value of y from eq(2) into eq(1)

So, value of x=5
Now putting value of x in eq 1 to find value of y:




So, value of y is 10.5
Solving the system of equations
we get x=5 and y=10.5
Keywords: System of equations
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Answer:
10/25
Step-by-step explanation:
2/5 = x/25
We need to multiply the bottom by 5 to get to 25
5*5 = 25
What we to the bottom, we do the the top
2/5 * 5/5 = 10/25
Answer:
.
Step-by-step explanation:
It is given that a number, x, rounded to 2 significant figures is 1300.
It is possible if,
1. The value of x is greater than of equal to 1250 and less than or equal to 1300.
i.e.,
...(1)
2. The value of x is greater than of equal to 1300 and less than 1350.
i.e.,
...(2)
On combining (1) and (2), we get

1350 is not included in the error interval for x.
Interval notation is
.
Therefore, the error interval for x is
.
find the perimeter of a triangle with sides 15 inches, 15 inches, and 21 inches length
To find the perimeter of a triangle we add all the sides of the triangle
The length of the sides of the triangle are given as 15 inches, 15 inches, and 21 inches
Perimeter of a triangle =
15 inches + 15 inches + 21 inches = 51 inches
So 51 inches is the perimeter
Answer:
y = 3x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 2 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes , then
y = 3x + c ← is the partial equation
To find c substitute (3, 8 ) into the partial equation
8 = 9 + c ⇒ c = 8 - 9 = - 1
y = 3x - 1 ← equation of parallel line