Find the principal.

What is the greatest common factor of 63 and 96

katrin [286]

Answer: 3

Step by step explanation

3 0

3 years ago

2 Here are two equations:

MatroZZZ [7]

a. (3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. No, it is not possible to have more than one (x,y) pair that is solution to both equations

Step-by-step explanation:

a. Decide whether each neither of the equations,

i (3,4)

ii. (4,2.5)

ill. (5,5)

iv. (3,2)

To decide whether each point is solution to equations or not we will put the point in the equations

Equations are:

Equation 1: 6x + 4y = 34

Equation 2: 5x – 2y = 15

i (3,4)

Putting in Equation 1:

$6(3) + 4(4) = 34\\18+16=34\\34=34\\$

Putting in Equation 2:

$5(3) - 2(4) = 15\\15-8 = 15\\7\neq 15$

ii. (4,2.5)

Putting in Equation 1:

$6(4) + 4(2.5) = 34\\24+10=34\\34=34\\$

Putting in Equation 2:

$5(4) - 2(2.5) = 15\\20-5 = 15\\15=15$

ill. (5,5)

$6(5) + 4(5) = 34\\30+20=34\\50\neq 34$

Putting in Equation 2:

$5(5) - 2(5) = 15\\25-10 = 15\\15=15$

iv. (3,2)

$6(3) + 4(2) = 34\\18+8=34\\26\neq 34$

Putting in Equation 2:

$5(3) - 2(2) = 15\\15-4 = 15\\11\neq 15$

Hence,

(3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. Is it possible to have more than one (x, y) pair that is a solution to both

equations?

The simultaneous linear equations' solution is the point on which the lines intersect. Two lines can intersect only on one point. So a linear system cannot have more than one point as a solution

So,

a. (3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. No, it is not possible to have more than one (x,y) pair that is solution to both equations

Keywords: Linear equations, Ordered pairs

Learn more about linear equations at:

#LearnwithBrainly

8 0

3 years ago

What is the volume of a rectangular prism with a height of 22 1/2 centimeters and a base area of 562 1/2 square centimeters?

umka2103 [35]

The correct answer is D. You can solve this by multiplying the values.

7 0

2 years ago

Read 2 more answers

A plane flies at a steady rate of 40 mph while a second plane flies at a steady rate of 100 mph. The planes are 200 miles apart

Brums [2.3K]

Answer:

$1\ \text{hour}\ 25\ \text{minutes and }12\ \text{seconds}$

Step-by-step explanation:

The combined distance that both planes will cover is 200 miles

Time taken by both planes will be the same (t)

$\text{Distance}=\text{Speed}\times \text{Time}$

So, the combined distance is

$40t+100t=200\\\Rightarrow 140t=200\\\Rightarrow t=\dfrac{200}{140}\\\Rightarrow t=1.42\ \text{hours}=1\ \text{hour}\ 25\ \text{minutes and }12\ \text{seconds}$

They will meet in $1\ \text{hour}\ 25\ \text{minutes and }12\ \text{seconds}$ .

7 0

2 years ago

Read 2 more answers

Which are solutions of the equation 4x2 - 7x = 3x + 24? Check all that apply.

riadik2000 [5.3K]

Answer:

all work is shown and pictured

4 0

3 years ago