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3 years ago

7

Which expression can you substitute in the indicated equation to solve the system of equations below?

1 answer:

Mama L [17]3 years ago

4 0

You can see almost immediately that the second equation, 3x + y = -2, can be solved for y: y = -3x - 2. (Answer A). This -3x - 2 can in turn be subbed for y in the first equation, 4x + 3y = 4. Doing so, we get 4x + 3(-3x - 2) = 4.

Carrying out the indicated opeations: 4x - 9x - 6 = 4, or -5x = 10. Thus,

x = -2. Find y using y = -3x - 2 (from above): y = -3(-2) - 2 = 4.

Thus, the solution is (-2,4). We were not asked to solve this system of equations, but doing so illustrates the helpfulness of elimination of variables in solving simultaneous equations.

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Ira Lisetskai [31]

Answer:

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Step-by-step explanation:

0.27 is less than 0.3. < is the less than symbol because the "mouth" is pointing towards to the larger number.

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4 years ago

Jose bought a pair of sneakers, a gaming headset and a T-shirt for $77. The headset cost two times

Margarita [4]

Answer:

The cheapest item is T shirt costing $13.

Step-by-step explanation:

Let the cost of T shirt = $ m

So, the cost of the headset = $ (2m)

and, The cost of Sneakers = $ ( m + 25)

Total amount spent by Jose = $77

Now, According to the question:

$ m + $ (2m) + $ ( m + 25) = $77

or, 4m + 25 = 77 ⇒ 4m = 77 - 25 = 52

or, m = 52/4 = 13

⇒ The cost of one T- Shirt = m = $ 13

The cost of the headset = (2m) = 13 x 2 = $ 26

The cost of Sneakers = $ ( m + 25) = 13+ 25 = $ 38

As, out of all costs, $13 is the lowest cost

Hence, the cheapest item is T shirt costing $13.

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3 years ago

Write the standard form equation of the line through the given points. through (0.-4) and (-3,-2)

Alexxx [7]

Answer:

The standard form of equation of the line through the given points. through (0.-4) and (-3,-2) is $\frac{2}{3}x+y=-4$

Step-by-step explanation:

The standard form of equation is $Ax+By=C$

Finding slope

Using the given points (0,-4) and (-3,-2) we can find slope using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

$Slope=\frac{-2-(-4)}{-3-(0)}\\Slope=\frac{-2+4}{-3} \\Slope=-\frac{2}{3}$

Finding y-intercept

Using point (0,4) and Slope=-2/3 we can find y-intercept

$y=mx+b\\-4=-\frac{2}{3}(0)+b\\-4=0+b\\b=-4$

The slope intercept form of the line through the given points. through (0.-4) and (-3,-2) having slope =-2/3 and b=-4 will be:

$y=mx+b\\y=-\frac{2}{3}x-4$

Now, standard form of equation will be: $\frac{2}{3}x+y=-4$

So, The standard form of equation of the line through the given points. through (0.-4) and (-3,-2) is $\frac{2}{3}x+y=-4$

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3 years ago

If 2d = 5c, then all of the following are true except _____.

Luda [366]

2d = 5c

2/5 = c/d ...true
5/2 = d/c...true
2/c = 5/d...true
2/d = 5/c....not true

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