Solve for y
y=\frac{114200-5z}{7}
Solve for z
z=-\frac{7y}{5}+22840
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y\times 1.4+z=22840
Swap sides so that all variable terms are on the left hand side.
y\times 1.4=22840-z
Subtract z from both sides.
1.4y=22840-z
The equation is in standard form.
\frac{1.4y}{1.4}=\frac{22840-z}{1.4}
Divide both sides of the equation by 1.4, which is the same as multiplying both sides by the reciprocal of the fraction.
y=\frac{22840-z}{1.4}
Dividing by 1.4 undoes the multiplication by 1.4.
y=\frac{114200-5z}{7}
Divide 22840-z by 1.4 by multiplying 22840-z by the reciprocal of 1.4.
y\times 1.4+z=22840
Swap sides so that all variable terms are on the left hand side.
z=22840-y\times 1.4
Subtract y\times 1.4 from both sides.
z=22840-1.4y
Multiply -1 and 1.4 to get -1.4.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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