Mathematics, 06.10.2021 06:30 cynthiakk

Solve the simultaneous linear equation 2x+5y=11, 7x+4y=2

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Answer from: ethannila

x = - $\frac{34}{27}$ and y = $\frac{73}{27}$

Step-by-step explanation:

2x + 5y = 11

7x + 4y = 2

Let's try elimination here since we have a system of equations:

-7(2x + 5y = 11) = -14x - 35y = -77

and

2(7x + 4y = 2) = 14x + 8y = 4

The x's cancel out now so let's combine the two equations:

-35 + 8 = -27

-77 + 4 = -73

-27y = -73

y = $\frac{73}{27}$

Now that we have y's value, let's plug that value in for y in the other equation. You may choose whichever equation you want to solve for x but it is recommended to use the easiest one. (Since this value is complicated, it won't really matter.)

2x + 5( $\frac{73}{27}$ ) = 11

2x + $\frac{365}{27}$ = 11

2x = - $\frac{68}{27}$

x = - $\frac{34}{27}$

To check and make sure you have the correct values, plug both values into the orginal equation and make sure the equation is true.

Answer from: wallsdeandre6927

${\tt{2x + 5y = 11}}$

${\tt{7x + 4y = 2}}$

$\: \:$

${\tt{2x = 11 - 5y}}$

${\tt{7x = 2 - 4y}}$

$\: \:$

${\tt{x = ( 11 - 5y ) ÷ 2}}$

${\tt{x = \frac{11}{2} - \frac{5}{2} y}}$

$\: \:$

${\tt{x = ( 2 - 4y ) ÷ 7}}$

${\tt{x = \frac{2}{7} - \frac{4}{7} y}}$

$\: \:$

_____________________

$\: \:$

$\: \: \: \: \: \: {\tt{ \frac{11}{2} - \frac{5}{2} y = \frac{2}{7} - \frac{4}{7} y\: \: ( \times14)}}$

$\: \: \: \: {\tt{77 - 35y = 4 - 8y}}$

${\tt{ - 35y + 8y = 4 - 77}}$

$\: \: \: \: \: \: \: \: \: \: \: {\tt{ - 27y = - 73}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {\tt{y = \frac{73}{27} }}$

$\: \:$

SUBSTITUTION

$\: \:$

${\tt{x = \frac{2}{7} - \frac{4}{7} \times \frac{73}{27} }}$

${\tt{x = - \frac{34}{27} }}$

$\: \:$

Answer from: Quest

⊂⊃⊂⊃ω $\frac{x}{y}\left[\begin{array}{ccc}1& 2& 3\\4& 5& 6\\7& 8& 9\end{array}\right] \left[\begin{array}{ccc}1& 2& 3\\4& 5& 6\\7& 8& 9\end{array}\right] \\ x^{2} \pi \pi \left[\begin{array}{ccc}1& 2& 3\\4& 5& 6\\7& 8& 9\end{array}\right] \lim_{n \to \infty} a_n \lim_{n \to \infty} a_n \int\limits^a_b {x} \, dx x_{123} \left \{ {{y=2} \atop {x=2}} \right. \sqrt[n]{x} x_{123}$

step-by-step explanation:

i hope this : )

Answer from: Quest

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

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Solve the simultaneous linear equation 2x+5y=11, 7x+4y=2...

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