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To find the solution, first find the value of y for each equation. Then substitue one equation into the other so that you only the x variable left. Then just solve for x. Once you have a value for x, then you can easily solve for y.
So for the first equation:
3y - 6x = -3 3y = 6x - 3
y = 2x - 1
Now for the second equation:
2y + 8x = 10 2y = -8x + 10
y = -4x + 5
Since both equations equal y, they also equal each other, therefore:
Do you really need a calculator to solve a linear equation? Let us see how to solve it without a calculator. Remove the parentheses fronm the second term on the left : y-3 Use the distributive property on the last term on the right side -2y-6 Take the term -3 to the right side, changing its sign in the process (becomes +3) Take the -2y term to the left making it +2y. 3y +2y=18+3-6 or 5y=15 and the answer is straightforward .
As to your Casio FX300ES, it cannot solve equations because it does not have an EQUATION calculation mode. The Casios FX-115ES and FX-991ES have an Equation Mode. If you use any of the two to solve an equation in one variable (linear, quadratic or other) the unknown is taken to be x by default. You would have to change the name of the variable from y to x.
You have to put the equations into matrix form first. To do this, each variable has one column in the first matrix and you fill in the co-efficients for the variables. The second matrix has one column and contains all the numbers.
(2x - 3y)(3x + 2y) = 2x*3x + 2x*2y - 3y*3x - 3y*2y = 6x^2 + 4xy - 9xy - 6y^2 = 6x^2 - 5xy - 6y^2
You multiply each element in the first set of brackets by each element in the second set of brackets and then consolidate like terms and arrange them in sequence of powers, first x and then y. So: 2x by 3x = 6x squared 2x by 2y = 4xy -3y by 3x = -9xy -3y by 2y = 6y squared
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