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2 years ago

Solve the simultaneous equations 2x+3y=9 4x+y=13

Mathematics

1 answer:

zlopas [31]2 years ago

4 0

Answer:

x=3, y=1

Step-by-step explanation:

2x+3y=9. Equation 1

4x+y=13 Equation 2

y=13-4x. Modify equation 2 to isolate y

2x+3(13-4x)=9 subst value of y of equation 2 into equation 1

2x+39-12x=9 solve equation

-10x+39=9

-10x=-30

x=3

solve for y

2x+3y=9

2(3)+3y=9

6+3y=9

3y=3

y=1

Check answer:

4x+y=13

4(3)+1=13

13=13

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Anybody know how to do lowest terms and can teach me how to get the answer to lowest terms questions?

Rzqust [24]

Answer:

Step-by-step explanation:

6/9+x=7/10

x=7/10-6/9

when adding fractions both denominators must be equal, we’ll make them 90

x=(7/10)(9/9)-(6/9)(10/10)

x=63/90-60/90

x=3/90, the greatest divisor of 3 and 90 is 3 so divide both the numerator and denominator by 3

x=(3/3)/(90/3)

x=1/30

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2 years ago

How much is 78ml when you turn it to litres<br>

algol [13]

1000ML = 1 L

78ML ?

78*1/1000 = 0.078 L

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2 years ago

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natita [175]

Answer:

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Step-by-step explanation:

7 0

2 years ago

Hey:) can you please help me posted picture of question

Kryger [21]

To expand the given expression we proceed as follows:
(6x²-2x-6)(8x²+7x+8)
=6x²(8x²+7x+8)-2x(8x²+7x+8)-6(8x²+7x+8)
=48x⁴+42x³+48x²-16x³-14x²-16x-48x²-42x-48
putting like terms together:
48x⁴+(42x³-16x³)+(48x²-48x²)+(-16x-42x)-48
=48x⁴+26x³+0x²-58x-48
hence the answer is:
48x⁴+26x³-58x-48

6 0

3 years ago

Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula?

AlexFokin [52]

An expression which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula is: expression A. Therefore, the correct answer option is A.

<h3>What is a quadratic equation?</h3>

A quadratic equation can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph. In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

Mathematically, the quadratic formula is modeled or represented by this mathematical expression:

$x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}$

From the information provided, we have the following values;

0 = -3x² - 2x + 6

Where:

a = -3

b = -2

c = 6

Substituting the values into the quadratic formula, we have;

$x = \frac{-(-2)\; \pm \;\sqrt{(-2)^2 - 4(-3)(6)}}{2(-3)}\\\\x = \frac{2\; \pm \;\sqrt{4^2 - 4(-3)(6)}}{2(-3)}$

Read more on quadratic equation here: brainly.com/question/4053652

#SPJ1

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8 months ago