All categories

2 years ago

Simultaneous Equations - 5p-2q=9 3p+2q=7

Mathematics

1 answer:

Luda [366]2 years ago

4 0

Apnswer:

p = 1

q = -2

Step-by-step explanation:

5p - 2q = 9 eqn 1

3p + 2q = 7 eqn 2

subtract equation 2 from 1

2p = 2

p = 1

Substitute for p in equation 1

5(1) - 2q = 9

5 - 2q = 9

-2q = 4

q = -2

You might be interested in

Distributive property of 54 divided by 30

Yuki888 [10]

4(13.5) / 3(10) = 1.8

Example
1. 9(499) = 4491 = (200 + 299)9

For the basic properties examples are:
Addition, you can have 6 + 107 = 113 
Commutative Property by moving: 107 + 6 = 113
Associative Property by grouping: (3 + 3) + (100 + 7 ) = 113
Distributive Property by allotting: 2 (3) + 107 = 113

Multiplication, you can have 6 x 107 = 642
Commutative Property by moving: 107 x 6 = 642
Associative Property by grouping: (3 + 3) x (100 + 7 ) = 642
Distributive Property by allotting: 2(3) x 107 = 642

5 0

3 years ago

A 12 ft ladder is place 5 feet from a build. Approximately how high does the ladder reach

kodGreya [7K]

The answer is C, 11ft.

6 0

3 years ago

What is the measure of angle VYZ

irakobra [83]

Answer:

$\boxed{\sf C. \ 161 ^{ \circ}}$

Step-by-step explanation:

Opposite angles are also congruent angles, meaning they are equal or have the same measurement.

$\sf \implies \angle VYZ = \angle WYT \\ \\ \sf \implies(8x + 1) ^{ \circ} = (9x - 19)^{ \circ} \\ \\ \sf \implies 8x^{ \circ} + 1^{ \circ} = 9x^{ \circ} - 19^{ \circ} \\ \\ \sf \implies 8x^{ \circ} - 9x^{ \circ} + 1^{ \circ} = - 19^{ \circ} \\ \\ \sf \implies - x^{ \circ} = - 19^{ \circ} - 1^{ \circ} \\ \\ \sf \implies \cancel{ -} x^{ \circ} = \cancel{- }20^{ \circ} \\ \\ \sf \implies x^{ \circ} = 20^{ \circ}$

$\therefore$

$\sf \implies \angle VYZ =(8x + 1) ^{ \circ} \\ \\ \sf \implies \angle VYZ =(8 \times 20 + 1) ^{ \circ} \\ \\ \sf \implies \angle VYZ =( 160+ 1) ^{ \circ} \\ \\ \sf \implies \angle VYZ =161 ^{ \circ}$

7 0

3 years ago

Yall I need help on this, if you can't, that's fine.

Charra [1.4K]

Answer:

60/12 idk how to explain lol

Step-by-step explanation:

4 0

3 years ago

Four times a number increased by five

Ratling [72]

Answer:

y x 4 + 5

Step-by-step explanation:

7 0

3 years ago