Solve the Simultaneous equations 2x-5y=9 and 3x+4y=2
2 answers:
Answer:
The answers are:
Step-by-step explanation:
In order to determine the solution for x and y, we have to solve both equations. We use the elimination method, where we eliminate the same variable in both equations.
In this method, we need to have the same coefficient in the eliminated variable, but different sign.
In this case, we choose to eliminate "x" variable. The minimum common multiple (mcm) between the coefficients of "x" is 6. So the first equation is multiplied by 3 and the second equation is multiplied by -2.
Then, we replace the value of "y" in any equation.
Finally, the solution for both variables is:
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Answer:
The final price is $66.
Step-by-step explanation:
This question can be solved by a rule of three.
The initial price was of $120.
Initially, there was a discount of 15%. Then, there is another discount on the initial price. So the total discount is of 15+30 = 45%.
So the final price will be 100-45 = 55% = 0.55 of the initial price.
So
$120 - 1
x - 0.55
The final price is $66.
Answer:
The sandals cost before tax $25.
Step-by-step explanation:
Let us assume that the sandals cost before tax $x.
So, after giving an 8% tax the price will be .
If the $15 gift certificate on that after tax price and the final cost of the sandals becomes $12, then
1.08x - 15 = 12
⇒ 1.08x = 27
⇒ x = $25
Hence, the sandals cost before tax $25. (Answer)