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4 years ago

14

What is the solution to the system of linear equations?

2 answers:

gizmo_the_mogwai [7]4 years ago

7 0

(0,2) Usually it is where they intersect on the graph. Hope this helps!

Hunter-Best [27]4 years ago

4 0

Answer: (0, 2)

Step-by-step explanation:

On Cartesian plane, when two lines drawn by using system of linear equations are intersect at a point , then that point is known as the solution of the system of the two linear equations .

In the given graph , the two lines are intersecting at (0,2) then the solution of the system of linear equations.

Hence, the solution to the system of linear equations = (0,2).

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4 years ago

10+200+0=——— what can you do with this

musickatia [10]

Answer:

210

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3 years ago

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pam wants to put a banner across her garage door to congratulate her son on his college graduation. Her garage door is 15ft high

solong [7]

Answer:

20 feet

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We're given that the garage door is 20 feet wide, which is also how "long" the door is (since we are given the height)

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3 years ago

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Amy received a $60 gift card to the frozen yogurt shop for her birthday. The shop sells yogurt sundaes for $4 and yogurt cones f

Phantasy [73]

Answer:

a) 4x + 3y ≤ 60

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3 0

3 years ago

The third term of an arithmetic sequence is 15 and when 20 is added to the third term the

djyliett [7]

Answer:

Common difference = 4

Position of 103 = 25th term

Step-by-step explanation:

a)

According to the given information:

$a_3 + 20 = a_8$

$a+ (3-1)d + 20 = a+ (8-1)d$

$\cancel a+ 2d + 20 = \cancel a + 7d$

$2d + 20 = 7d$

$20 = 7d-2d$

$20 = 5d$

$d = \frac{20}{5}$

$\purple {\bold {d = 4}}$

Common difference = 4

b)

$\because a_3 = 15....(given)$

$\therefore a + (3-1)d = 15$

$\therefore a + 2d = 15$

$\therefore a + 2\times 4= 15$

$\therefore a + 8= 15$

$\therefore a = 15-8$

$\red{\bold {\therefore a = 7}}$

$\because a_n = a + (n - 1) d$

$\therefore 103 = 7 + (n - 1)4$

$\therefore 103 - 7 = (n - 1)4$

$\therefore 96 = (n - 1)4$

$\therefore \frac{96}{4}= n - 1$

$\therefore 24= n - 1$

$\therefore 24+1= n$

$\blue{\bold {\therefore n = 25}}$

So, the position of 103 in this sequence is 25th term.

8 0

3 years ago