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3 years ago

2x+3y=15 x+y=6 work out the values of x and y

Mathematics

2 answers:

Anna [14]3 years ago

6 0

Answer:

x=3

y=3

Step-by-step explanation:

x = 6-y

-plug in (6-y) into first equation

2(6-y)+3y = 15

12-2y+3y=15

-2y+3y = 3

y=3

x=6-3

x=3

double check:

(2*3) + (3*3) = 6 + 9 = 15

3 + 3 = 6

Sonja [21]3 years ago

4 0

Answer:

x = 3

y = 3

Step-by-step explanation:

2x + 3y = 15

x + y = 6

2x + 3y = 15

x(-3) + y(-3) = 6(-3)

2x + 3y = 15

-3x - 3y = -18

Add:

2x + 3y = 15

-3x - 3y = -18

- x = -3

x = 3

Substitute x to any of the equation:

x + y = 6

3 + y = 6

y = 6 - 3

y = 3

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Kamila [148]

Answer:

The base is 4cm and the height is 5cm.

Step-by-step explanation:

This is a solve the system question. Call H the height of the triangle and B the base. The question tells us:

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and

$\frac{B \times H}{2}=10$

Sub the first equation into the second (as H is already isolated). You will end up with a quadratic equation - solve that any way you wish (e.g. quadratic formula). I've provided the factored form below which shows you the roots:

$\frac{B(2B-3)}{2}=10\\\frac{2B^2-3B}{2}=10\\2B^2-3B=20\\2B^2-3B-20=0\\(2B+5)(B-4)=0\\B= - \frac{5}{2},4$

In this question, we take B=4. You can't have a negative side length so the other answer is eliminated. Now sub the value for B into either of the original equations. I'll use the first, again because H is already isolated:

$H=2(4)-3\\H=8-3\\H=5$

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2 years ago

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Gwar [14]

I think you are correct

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2 years ago

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liubo4ka [24]

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2 years ago

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Gwar [14]

Answer:

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Step-by-step explanation:

Split up this Isosceles, Right Triangle into two congruent smaller right triangles. The reflexive side [the line that splits them apart] is 6 units, and both legs are 8 units, leaving the hypotenuses to AUTOMATICALLY be 10 units, according to the Pythagorean Theorem:

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$\displaystyle 2[10] + 2[8] = 20 + 16 = 36$

I am joyous to assist you anytime.

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3 years ago