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3 years ago

What is the solution of the system of linear equations?

Mathematics

2 answers:

Monica [59]3 years ago

8 0

-3x+4y=-18
2x-y=7
the answer qould be C.(2,-3)
-3(2)+4(-3)=-18
-6+(-12)=-18
-18=-18

2(2)-(-3)=7
4+3=7
7=7

C.

arsen [322]3 years ago

6 0

Answer:

Option C is correct

(2, -3)

Step-by-step explanation:

Given the system of equation:

$-3x+4y=-18$ .....[1]

$2x-y =7$ ......[2]

Multiply both sides by 4 in [2] we have;

$8x-4y =28$ .....[3]

Add equation [1] and [3] we have;

5x = 10

Divide both sides by 5 we have;

x = 2

Substitute the value of x in [1] we have;

$2(2)-y =7$

⇒ $4-y=7$

Subtract 4 from both sides we have;

$-y = 3$

⇒y =-3

Therefore, the solution of the system of linear equations is, (2, -3)

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6. a. Name a pair of equations that have exactly one point of intersection. How do you know?

True [87]

Answer:

A system of linear equations will have exactly one point of intersection, for example:

2x+y=5

-x+y=2

However, a system of linear equations with no solution will have no points of intersection, for example:

-4x+10y=6

2x-5y=3

Sorry about c. though I'm confused on how a pair of equations can have infinite points of intersection unless x or y equals all real numbers which could happen if x or y both equaled all real numbers maybe

And the point of interesection for the system of equations in the problem you attached as an image is (2,-1)

I attached a photo below, and one of how to graph it

4 0

2 years ago

The vertex of the graph of y = -4(x + 3)² + 2 is DONE

wariber [46]

A parabola is a mirror-symmetrical planar curve that is nearly U-shaped. The vertex of the parabola will lie at (-3,2).

<h3>What is the Equation of a parabola?</h3>

A parabola is a mirror-symmetrical planar curve that is nearly U-shaped.

y = a(x-h)² + k

where,

(h, k) are the coordinates of the vertex of the parabola in the form (x, y);

a defines how narrower is the parabola, and the "-" or "+" that the parabola will open up or down.

Comparing the given equation with the equation of a parabola, we will get,

y = a(x -h)² + k

y = -4(x+3)² + 2

Hence, the vertex of the parabola will lie at (-3,2).

Learn more about Parabola:

brainly.com/question/8495268

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5 0

2 years ago

Solve this equation for x. Round your answer to the nearest hundredth. 0.77 = log x

Alekssandra [29.7K]

Answer:

x ≈ 5.89

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra II

Exponential to Logarithmic: $\displaystyle b^m=x \rightarrow log_bx=m$

Step-by-step explanation:

Step 1: Define

Identify

0.77 = log(x)

Step 2: Solve for x

[Equality Property] Raise both sides to the 10th power: $\displaysytle 10^{0.77} = 10^{logx}$
Simplify: $\displaysytle x = 10^{0.77}$
Evaluate: $\displaysytle x = 5.88844$