Question 125447
1.) Solve the system.
4x + 3y = 11
3x - 2y= 4
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Multiply 1st by 2 and 2nd by 3 to get :
8x + 6y = 22
9x - 6y = 12
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Add the two equations and solve for "x":
17x = 34
x = 2
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Substitute in one of the original equations to solve for "Y".
4*2 + 3y = 11
3y = 3
y = 1
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2.) Is this right?: Jennifer has collected $4.50 in nickels and dimes. If she has 55 coins, how many of each kind of coin does she have? Answer: 35 dimes and 20 nickles.
Correct because 35*10 cents + 20 * 5 cents = 450 cents
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3.) Solve the following linear inequality graphically. 
x+ 2y <4
x - y <5 
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Solve both equtions for y to get:
y < (-1/2)x + 2
y >x - 5
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Graph the boundary of each of the inequalities as dashed lines:
{{{graph(400,300,-10,10,-10,10,(-1/2)x+2,x-5)}}}
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Shade or "hatch" the half-plane below the 1st boundary because
of the "<" sign on the inequality.
Shade or "hatch" the half-plane above the 2nd boundary because
of the the ">" sign on the inequality.
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The solution set is the intersection of the two half-planes.
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Cheers,
Stan H.