Choose the imensions that represen this rectlangl

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

The volume of the box below is 1.5 cubic inches. Which of the following are possible dimensions of the box.

anygoal [31]

I’m not sure what u mean?

7 0

3 years ago

Two angles of a triangle have the same measure and the third one is 9 degrees greater than the measure of each of the other two.

Umnica [9.8K]

The largest angle should be 66°
I hope this helps.
YOU'RE WELCOME :D

6 0

3 years ago

Evaluate the expression if m = 3. 3m^2 (SHOW YOUR WORK)

iragen [17]

The value of given expression when m = 3 is 27

<h3>Solution:</h3>

Given expression is $3m^2$

We have to evaluate the given expression for m = 3

To find for m is equal to 3, substitute m = 3 in given expression

From given expression,

$\rightarrow 3m^2$

Plug in m = 3 in above expression

$\rightarrow 3(3)^2$ ------ eqn 1

We know that,

$a^2$ can be expanded as,

$a^2=a \times a$

Applying this in eqn 1, we get

$\rightarrow 3(3)^2=3 \times (3 \times 3)$

Simplify the above expression

$\rightarrow 3(3)^2=3 \times (3 \times 3) = 3 \times 9 = 27$

Therefore, for m = 3 we get,

$\rightarrow 3(3)^2=27$

Thus value of given expression when m = 3 is found

5 0

3 years ago

If u are smart answer this plz!! i need you, i need a CORRECT answer plz not a wrong answer plz,i cant afford to mess up

Stolb23 [73]

I Think It Is 3 x 8 x 4 = 96 But I Am Completely For Sure I Would Wait A Bit For Someone Else To Comment! Hope That Helps!!

8 0

3 years ago