All categories

3 years ago

Solve 3x+2y=4 4x+3y=7 algebraically

1 answer:

8 0

Step 1. Multiply first equation with -3 and the second one with 2. You'll get:
$\left \{ {{-9x-6y=-12} \atop {8x+6y=14}} \right.$

Step 2. Add both equations together. You'll get:
$-x=2$ , which gives x = -2

Step 3. Replace x = -2 in the first equation and calculate y.
$3(-2)+2y=4\\
y=\frac{4+6}{2}=5$

The solution is: x=-2, y=5

You might be interested in

Thirty six plus b is greater than negative twenty four b plus negative sixty four

8_murik_8 [283]

Answer:

Step-by-step explanation:

36 + b > -24b + (-64)

24b + b > -36 - 64

25b > 100

b > 100/25

b > 4

8 0

3 years ago

The sum of two negatives is greater than -23. One of the numbers is -10. What are the possible values of the other nber

san4es73 [151]

Answer:

any number > than -13 and less than zero

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A recipe for individual chocolate hazelnut tarts calls for ½ cup of hazelnuts per tart. If 1 cup of hazelnuts weighs 4 ounces, w

DerKrebs [107]

Answer:

The amount is sufficient to make 75 tarts.

Step-by-step explanation:

We have been given that a recipe for individual chocolate hazelnut tarts calls for ½ cup of hazelnuts per tart and 1 cup of hazelnuts weighs 4 ounces.

The half cup of hazelnuts will weigh 2 ounces $(\frac{4}{2}=2)$ .

1 kg equals 35.274 ounces.

$\text{5 kg}=5\times 35.274\text{ ounces}$

$\text{5 kg}=176.37\text{ ounces}$

Since each tart needs ½ cup of hazelnuts and half cup of hazelnuts will weigh 2 ounces, so we will divide 176.37 ounces by 2 to find number of tarts.

$\frac{176.37}{2}=88.185\approx 88$

Since we can make 88 tarts from 5 kg hazelnuts, therefore, the 5-kilogram bag of hazelnuts be sufficient to make 75 tarts.

7 0

3 years ago

a cargo ship arrived at Kingston Harbour carrying 403,172 kilograms of flour. All the flour was tranfered to 5 trains and 9 truc

IrinaVladis [17]

Each train carried 64141 kg of flour and each truck carried 9163 kg of flour.

Step-by-step explanation:

Let the no. of kg of flour carried by each train be 'a'

Let the no. of kg of flour carried by each truck be 'b'

Total flour = 403172 kg

No. Of trains = 5

No. of trucks = 9

a = 7(b)

5a + 9b = 403172

5(7b) + 9b = 403172

35b + 9b = 403172

44b = 403172

b = 403172/44

b = 9163

Each truck carried 9163 kg of flour.

a = 7b

a = 7(9163)

a = 64141

Each train carried 64141 kg of flour.

4 0

3 years ago

Can someone help me out please

ArbitrLikvidat [17]

B) AAS Congruence Theorem
(correct answer i promise)

explanation:
The Angle Angle Side postulate (often abbreviated as AAS) states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.

6 0

3 years ago