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3 years ago

What is the solution to system of equation

Mathematics

1 answer:

Alenkinab [10]3 years ago

5 0

The lines are intersected at point (0, -5). So (0, -5) is the solution.

Answer is the third one

(0,-5 )

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6 hours and 18 minutes

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3 years ago

Question 1: Classify the system of equations and identify the number of solutions. 7x + 3y = 10 3y = 9 − 7x Answers: consistent,

Vladimir [108]

Answer:

1. The equations is inconsistent and has no solution

2. The equations is consistent and has no solution

3. A pen costs $1.50 and a notebook costs $2.00

Step-by-step explanation:

Solving $7x + 3y = 10$ and $3y = 9 - 7x$

$7x + 3y = 10$ --- Equation 1

$3y = 9 - 7x$ --- Equation 2

Add 7x to both sides in equation 2

$7x + 3y = 9 - 7x + 7x$

$7x + 3y = 9$ --- Equation 3

Subtract equation 3 from 1

$(7x + 3y = 10) - (7x + 3y = 9)$

$7x - 7x + 3y - 3y = 10 - 9$

$0 + 0 = 1$

$0 \neq 1$

The equations is inconsistent and has no solution

Solving $3x + y = 4$ and $12x + 4y = 16$

$3x + y = 4$ -- Equation 1

$12x + 4y = 16$ ---- Equation 2

Make y the subject of formula in equation 1

$y = 4 - 3x$

Substitute 4 - 3x for y in equation 2

$12x + 4(4 - 3x) = 16$

$12x + 16 - 12x = 16$

Collect Like Terms

$12x - 12x = 16 - 16$

$0 = 0$

The equations is consistent and has no solution

3. Solving John and Harry

Given;

Represent Pen with P and Notes with N

John: $3P + 8N = 20.5$

Harry: $4P + 5N = 16.00$

Required

Find P and N

Make P the subject of formula in equation 2

$4P = 16 - 5N$

$P = \frac{16 - 5N}{4}$

Substitute $P = \frac{16 - 5N}{4}$ in equation 1

$3P + 8N = 20.5$

$3(\frac{16 - 5N}{4}) + 8N = 20.5$

Open the bracket

$\frac{48 - 15N}{4} + 8N = 20.5$

Take LCM

$\frac{48 - 15N + 32N}{4} = 20.5$

$\frac{48 + 17N}{4} = 20.5$

Multiply both sides by 4

$4 * \frac{48 + 17N}{4} = 20.5 * 4$

$48 + 17N = 82$

Subtract 48 from both sides

$48 - 48 + 17N = 82 - 48$

$17N = 82 - 48$

$17N = 34$

Divide both sides by 17

$17N/17 = 34/17$

$N = 34/17$

$N = 2$

Substitute 2 for N in $P = \frac{16 - 5N}{4}$

$P = \frac{16 - 5 * 2}{4}$

$P = \frac{16 - 10}{4}$

$P = \frac{6}{4}$

$P = 1.5$

Hence, a pen costs $1.50 and a notebook costs $2.00

5 0

3 years ago

Let f(x) 2x 2. Solvef 1(x) when x 4

qaws [65]

2x +2 when x = 4 = 10 -1 = 9?

5 0

3 years ago

An incentive clause in Barry Bonds contract allows for a 3.4% bonus if he hits over 719 home runs in this season. His contract i

N76 [4]

The bonus would be worth $493,000.

3.4% = 3.4/100 = 0.034; 3.4% of 14500000 = 0.034(14500000) = 493000.

3 0

3 years ago

Read 2 more answers

Give an example of a sample of the students in a middle school! help asap!!

valina [46]

Answer:

A school wanted to see how many students bought orange juice with their lunch. As a result, they sampled 100 lunch-buying students, to see how many of them bought orange juice. In a sample of 100 lunch-buying students, 25 of them bought orange juice with their lunches. If there are 1,000 students in the school that buy lunch, how many students bought orange juice with their food? 250.

Step-by-step explanation:

I'm assuming there's no visual included in the question, and that the example can be completely original.

If you wanted a ratio, you would ask what the ratio was between students that bought lunch and students that bought orange juice with their lunches (often asked in lowest terms).

Sample included 100:25
You want it in lowest terms. Find the lowest common denominator
LCD = 5
New ratio, divided by five to find lowest terms
= 20:5
Every 20 students, 5 of them (also 25% of them) bought orange juice with their lunches.

5 0

3 years ago