I'm really lose with this problem...HELP
Using Cramer Rule If D=O use another method to solve
2x/3-5y/2=3/2
-x/4+5y/2=7/2
I don't know where to begin on how to solve this problem.
First in google type:
Cramer's rule 2 equations
When you see list of results click on:
occc dot edu/maustin/cramers_rule/cramer's%rule.html
and read text
Then in google type:
Cramer's rule 2x2 solver
When you see results click on:
Solver Using Cramer's Rule to Solve Systems with 2 variables
When page be open enter your coefficients and click option:Solve
All that is good but its still not helping me with the steps to figure the problem out.....that is what I need not the answer but how to get the answer.
To solve this system of equations using the Cramer's Rule, we first need to determine the coefficients of the variables and the constants in the system of equations.
Let's rearrange the equations in standard form to determine the coefficients:
1. 2x/3 - 5y/2 = 3/2 => Multiply both sides by 6 to eliminate the fractions:
4x - 15y = 9
2. -x/4 + 5y/2 = 7/2 => Multiply both sides by 4 to eliminate the fractions:
-x + 10y = 14
Now, we can identify the coefficients and constants:
Equation 1: 4x - 15y = 9
Coefficients: a1 = 4, b1 = -15
Equation 2: -x + 10y = 14
Coefficients: a2 = -1, b2 = 10
Now, we need to calculate the determinants to find the unique solution. To do this, we need to compute the following determinants:
1. Determinant D:
D = |a1 * b2 - a2 * b1|
Plugging in the values, we get:
D = |4 * 10 - (-1) * (-15)| = |40 + 15| = |55| = 55
2. Determinant Dx:
Dx = |c1 * b2 - c2 * b1|
Plugging in the values, we get:
Dx = |9 * 10 - 14 * (-15)| = |90 + 210| = |300| = 300
3. Determinant Dy:
Dy = |a1 * c2 - a2 * c1|
Plugging in the values, we get:
Dy = |4 * (-14) - (-1) * 9| = |-56 + 9| = |-47| = 47
Lastly, we can calculate the values of the variables:
x = Dx / D = 300 / 55 ≈ 5.4545
y = Dy / D = 47 / 55 ≈ 0.8545
So, the solution to the system of equations is approximately x ≈ 5.4545 and y ≈ 0.8545.
However, if the determinant D is equal to zero (D = 0), we cannot use Cramer's Rule to find a unique solution. In such cases, we would need to use an alternative method, such as substitution or elimination, to solve the system of equations.