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abruzzese [7]
3 years ago
12

Please help me, I don’t wanna fail..

Mathematics
2 answers:
balandron [24]3 years ago
8 0
The answer is 8.7 cm
stira [4]3 years ago
5 0

Answer:

8.7

Step-by-step explanation:

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Solve the following using Substitution method<br> 2x – 5y = -13<br><br> 3x + 4y = 15
Digiron [165]

\huge \boxed{\mathfrak{Question} \downarrow}

Solve the following using Substitution method

2x – 5y = -13

3x + 4y = 15

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

\left. \begin{array}  { l  }  { 2 x - 5 y = - 13 } \\ { 3 x + 4 y = 15 } \end{array} \right.

  • To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

2x-5y=-13, \: 3x+4y=15

  • Choose one of the equations and solve it for x by isolating x on the left-hand side of the equal sign. I'm choosing the 1st equation for now.

2x-5y=-13

  • Add 5y to both sides of the equation.

2x=5y-13

  • Divide both sides by 2.

x=\frac{1}{2}\left(5y-13\right)  \\

  • Multiply \frac{1}{2}\\ times 5y - 13.

x=\frac{5}{2}y-\frac{13}{2}  \\

  • Substitute \frac{5y-13}{2}\\ for x in the other equation, 3x + 4y = 15.

3\left(\frac{5}{2}y-\frac{13}{2}\right)+4y=15  \\

  • Multiply 3 times \frac{5y-13}{2}\\.

\frac{15}{2}y-\frac{39}{2}+4y=15  \\

  • Add \frac{15y}{2} \\ to 4y.

\frac{23}{2}y-\frac{39}{2}=15  \\

  • Add \frac{39}{2}\\ to both sides of the equation.

\frac{23}{2}y=\frac{69}{2}  \\

  • Divide both sides of the equation by 23/2, which is the same as multiplying both sides by the reciprocal of the fraction.

\large \underline{ \underline{ \sf \: y=3 }}

  • Substitute 3 for y in x=\frac{5}{2}y-\frac{13}{2}\\. Because the resulting equation contains only one variable, you can solve for x directly.

x=\frac{5}{2}\times 3-\frac{13}{2}  \\

  • Multiply 5/2 times 3.

x=\frac{15-13}{2}  \\

  • Add -\frac{13}{2}\\ to \frac{15}{2}\\ by finding a common denominator and adding the numerators. Then reduce the fraction to its lowest terms if possible.

\large\underline{ \underline{ \sf \: x=1 }}

  • The system is now solved. The value of x & y will be 1 & 3 respectively.

\huge\boxed{  \boxed{\bf \: x=1, \: y=3 }}

8 0
2 years ago
Shane's age is 8 years more than three times Edward's age. Their combined age is 56 years.
natima [27]
24 the answr is 24 this was mad easy
4 0
2 years ago
Read 2 more answers
Please answer with steps thank you :)
mart [117]
200×180 =36,000
36,000 / pi (approx 3.14)= 11,459.1559026
4 0
3 years ago
Can u answer this??!!
Lelu [443]
1/2 gallon of milk makes 10 glasses.
\frac{1}{2} x \frac{1}{10} = \frac{1}{20}
4 0
3 years ago
Read 2 more answers
If LM = MK, LK =7x-10, KN = x+3, MN = 9x-11, and KJ =28, find LJ
marusya05 [52]

Answer:


Step-by-step explanation:

Suppose J, K, L, M, N are points on the same line.


MK = MN + (-KN) = MN - KN = 9x - 11 - x - 3 = 8x - 14


Since LK = MK and LK = 7x - 10, then


7x - 10 = 8x - 14


8x - 7x = -10 + 14


x = 4


LJ = MK + KJ


MK = LK = 7x - 10 = 7(4) - 10 = 28 - 10 = 18


LJ = 18 + 28 = 46


Read more on Brainly.com - brainly.com/question/5067118#readmore

8 0
3 years ago
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