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aniked [119]
3 years ago
15

Use the substitution method to solve the system of equations. Please help me get this question right

Mathematics
1 answer:
vaieri [72.5K]3 years ago
7 0

Answer:  B (2,1)

You know what y is (x-1) so you substitute that for y in the other equation.

3x+ ((4)(x-1))=10

3x+4x-4=10

7x=14

x=2

Then put x=2 into y=x-1

y=2-1

y=1

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Step-by-step explanation:

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2 years ago
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You invested $27,200 and started a business selling vases. Supplies cost $11 per
AleksAgata [21]
1,600 vases must be produced and sold to break even.

x($28-$11)=$27,200
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Divide 17x by 17 so it cancels out.
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6 0
2 years ago
Solve the simultaneous equation y-2x+1=0 and 4x^2+3y^2-2xy=7
Lapatulllka [165]

The first equation is y-2x+1=0

y=2x-1 (Equation 1)

The second equation is 4x^{2}+3y^{2}-2xy=7 (Equation 2)

Putting the value of x from equation 1 in equation 2.

we get,

4x^{2}+3(2x-1)^{2}-2x(2x-1)=7

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by simplifying the given equation,

12x^{2}-10x-4=0

6x^{2}-5x-2=0

Using discriminant formula,

D=b^{2}-4ac

D=25-4 \times 6 \times -2 = 73

Now the formula for solution 'x' of quadratic equation is given by:

x=\frac{-b+\sqrt{D}}{2a}  and  x=\frac{-b-\sqrt{D}}{2a}

x=\frac{5+\sqrt{73}}{12}  and x=\frac{5-\sqrt{73}}{12}

Hence, these are the required solutions.

8 0
3 years ago
Rearrange to make x the subject
Zolol [24]
Answer
t3/b=x
Step by step explanation
t = bx/3
Take b/3 to the left hand side
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Hope it helped !!
Comment below
7 0
2 years ago
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When building a mini-boat, a boat builder uses 2 pounds of wood and 3 ounces of glue. If he/she has 3 pounds of wood and 6 ounce
zepelin [54]

Answer:

1

Step-by-step explanation:

It means that every unit of mini boat requires 2 pounds of wood and 3 ounces of glue.

As such 3 pounds of wood can only be used to build one mini boat and there will be one pound of wood left. With 6 ounces of gold, the builder can build 2 boats (6/3).

However, the wood becomes the limiting factor that determines the number of mini-boats that can be made.  Hence with 3 pounds of wood and 6 ounces of glue, the builder can only build a mini-boat.

4 0
3 years ago
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